(6x+7)*(6x+7)=

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Solution for (6x+7)*(6x+7)= equation:


Simplifying
(6x + 7)(6x + 7) = 0

Reorder the terms:
(7 + 6x)(6x + 7) = 0

Reorder the terms:
(7 + 6x)(7 + 6x) = 0

Multiply (7 + 6x) * (7 + 6x)
(7(7 + 6x) + 6x * (7 + 6x)) = 0
((7 * 7 + 6x * 7) + 6x * (7 + 6x)) = 0
((49 + 42x) + 6x * (7 + 6x)) = 0
(49 + 42x + (7 * 6x + 6x * 6x)) = 0
(49 + 42x + (42x + 36x2)) = 0

Combine like terms: 42x + 42x = 84x
(49 + 84x + 36x2) = 0

Solving
49 + 84x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 6x)(7 + 6x) = 0

Subproblem 1

Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667

Subproblem 2

Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667

Solution

x = {-1.166666667, -1.166666667}

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