(1x+12)+(1x+2)(5x-6)=

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Solution for (1x+12)+(1x+2)(5x-6)= equation:


Simplifying
(1x + 12) + (1x + 2)(5x + -6) = 0

Reorder the terms:
(12 + 1x) + (1x + 2)(5x + -6) = 0

Remove parenthesis around (12 + 1x)
12 + 1x + (1x + 2)(5x + -6) = 0

Reorder the terms:
12 + 1x + (2 + 1x)(5x + -6) = 0

Reorder the terms:
12 + 1x + (2 + 1x)(-6 + 5x) = 0

Multiply (2 + 1x) * (-6 + 5x)
12 + 1x + (2(-6 + 5x) + 1x * (-6 + 5x)) = 0
12 + 1x + ((-6 * 2 + 5x * 2) + 1x * (-6 + 5x)) = 0
12 + 1x + ((-12 + 10x) + 1x * (-6 + 5x)) = 0
12 + 1x + (-12 + 10x + (-6 * 1x + 5x * 1x)) = 0
12 + 1x + (-12 + 10x + (-6x + 5x2)) = 0

Combine like terms: 10x + -6x = 4x
12 + 1x + (-12 + 4x + 5x2) = 0

Reorder the terms:
12 + -12 + 1x + 4x + 5x2 = 0

Combine like terms: 12 + -12 = 0
0 + 1x + 4x + 5x2 = 0
1x + 4x + 5x2 = 0

Combine like terms: 1x + 4x = 5x
5x + 5x2 = 0

Solving
5x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(1 + x) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {0, -1}

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