Question

Solve (x+1) (x-11) = -36
x = ?
can someone help pls​

Answer 1

`x=5`

Explanation:

1. Approach

The most logical steps to solve the given equation are to distribute and simplify the left side of the equation. Then use inverse operations to bring all of the terms to the left side of the equation. After doing so, one can factor the equation again, then use the zero-product property to solve it.

2. Simplify

Distribute the terms on the left side, multiply everything in the first parenthesis by everything in the second,

`(x+1)(x-11)=-36`

`(x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36`

Simplify this expression by performing the multiplication and then combining like terms,

`(x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36`

`x^2+x-11x-11=-36`

`x^2-10x-11=-36`

Inverse operations,

`x^2-10x-11=-36`

`x^2-10x+25=0`

3. Factor and solve,

Now that has the simplified version of the equation, one should factor it. Rewrite the quadratic expression as a product of two linear expressions,

`x^2-10x+25=0`

`(x-5)^2=0`

Use the zero product property to solve this expression. The zero product property states that any number times zero equals zero. Since (
`(x-5)^2`) is just (
`x-5`) multiplied by itself, thus, when solving, one can ignore the square part of the equation:

`(x-5)^2=0`

`x-5=0`

Inverse operations,

`x-5=0`

`x=5`