(6+6x)*(6+6x)=

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Solution for (6+6x)*(6+6x)= equation:


Simplifying
(6 + 6x)(6 + 6x) = 0

Multiply (6 + 6x) * (6 + 6x)
(6(6 + 6x) + 6x * (6 + 6x)) = 0
((6 * 6 + 6x * 6) + 6x * (6 + 6x)) = 0
((36 + 36x) + 6x * (6 + 6x)) = 0
(36 + 36x + (6 * 6x + 6x * 6x)) = 0
(36 + 36x + (36x + 36x2)) = 0

Combine like terms: 36x + 36x = 72x
(36 + 72x + 36x2) = 0

Solving
36 + 72x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '36'.
36(1 + 2x + x2) = 0

Factor a trinomial.
36((1 + x)(1 + x)) = 0

Ignore the factor 36.

Subproblem 1

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

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 = {-1, -1}

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