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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) = 0Subproblem 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 = 1.166666667Subproblem 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 = 1.166666667Solution
x = {1.166666667, 1.166666667}
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