2(x+2)(x-11)1=

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Solution for 2(x+2)(x-11)1= equation:


Simplifying
2(x + 2)(x + -11) * 1 = 0

Reorder the terms:
2(2 + x)(x + -11) * 1 = 0

Reorder the terms:
2(2 + x)(-11 + x) * 1 = 0

Reorder the terms for easier multiplication:
2 * 1(2 + x)(-11 + x) = 0

Multiply 2 * 1
2(2 + x)(-11 + x) = 0

Multiply (2 + x) * (-11 + x)
2(2(-11 + x) + x(-11 + x)) = 0
2((-11 * 2 + x * 2) + x(-11 + x)) = 0
2((-22 + 2x) + x(-11 + x)) = 0
2(-22 + 2x + (-11 * x + x * x)) = 0
2(-22 + 2x + (-11x + x2)) = 0

Combine like terms: 2x + -11x = -9x
2(-22 + -9x + x2) = 0
(-22 * 2 + -9x * 2 + x2 * 2) = 0
(-44 + -18x + 2x2) = 0

Solving
-44 + -18x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + -9x + x2) = 0

Factor a trinomial.
2((-2 + -1x)(11 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11

Solution

x = {-2, 11}

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