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Simplifying -1(7x + -6)(7x + -6) = 0 Reorder the terms: -1(-6 + 7x)(7x + -6) = 0 Reorder the terms: -1(-6 + 7x)(-6 + 7x) = 0 Multiply (-6 + 7x) * (-6 + 7x) -1(-6(-6 + 7x) + 7x * (-6 + 7x)) = 0 -1((-6 * -6 + 7x * -6) + 7x * (-6 + 7x)) = 0 -1((36 + -42x) + 7x * (-6 + 7x)) = 0 -1(36 + -42x + (-6 * 7x + 7x * 7x)) = 0 -1(36 + -42x + (-42x + 49x2)) = 0 Combine like terms: -42x + -42x = -84x -1(36 + -84x + 49x2) = 0 (36 * -1 + -84x * -1 + 49x2 * -1) = 0 (-36 + 84x + -49x2) = 0 Solving -36 + 84x + -49x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + 7x)(6 + -7x) = 0Subproblem 1
Set the factor '(-6 + 7x)' equal to zero and attempt to solve: Simplifying -6 + 7x = 0 Solving -6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 0 + 6 7x = 0 + 6 Combine like terms: 0 + 6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {0.8571428571, 0.8571428571}
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