232k views
1 vote
6x^4+8x^2=26x^3

can someone please help me, i literally don’t understand how to do this, i will give top answer or whatever it’s called to whoever answers with a full explanation first

User NiPfi
by
7.9k points

1 Answer

8 votes

Simplifying

6x4 + 8x2 = 26x3

Reorder the terms:

8x2 + 6x4 = 26x3

Solving

8x2 + 6x4 = 26x3

Solving for variable 'x'.

Reorder the terms:

8x2 + -26x3 + 6x4 = 26x3 + -26x3

Combine like terms: 26x3 + -26x3 = 0

8x2 + -26x3 + 6x4 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.

2x2(4 + -13x + 3x2) = 0

Factor a trinomial.

2x2((1 + -3x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve:

Simplifying

x2 = 0

Solving

x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x2 = 0

Take the square root of each side:

x = {0}

Subproblem 2

Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying

1 + -3x = 0

Solving

1 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -3x = 0 + -1

-3x = 0 + -1

Combine like terms: 0 + -1 = -1

-3x = -1

Divide each side by '-3'.

x = 0.3333333333

Simplifying

x = 0.3333333333

Subproblem 3

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {0, 0.3333333333, 4}

User Atacan
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories