Answer:
x = 2/3 = 0.667
x = 2
Explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
3*x^2-7*x-(x-4)=0
STEP 1: Equation at the end of step 1
(3x2 - 7x) - (x - 4) = 0
STEP: 2 Try to factor by splitting the middle term
Factoring 3x2-8x+4
The first term is, 3x2 its coefficient is 3 .
The middle term is, -8x its coefficient is -8 .
The last term, the constant is +4
Multiply the coefficient of the first term by the constant 3 • 4 = 12
Find two factors of 12 whose sum equals the coefficient of the middle term, which is -8 .
Equation at the end of step 2
(x - 2) • (3x - 2) = 0
We should now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solve : x-2 = 0 (Add 2 to both sides of the equation x = 2)