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Simplifying 6x((7 + -1x)(7 + -1x)) = 0 Multiply (7 + -1x) * (7 + -1x) 6x((7(7 + -1x) + -1x * (7 + -1x))) = 0 6x(((7 * 7 + -1x * 7) + -1x * (7 + -1x))) = 0 6x(((49 + -7x) + -1x * (7 + -1x))) = 0 6x((49 + -7x + (7 * -1x + -1x * -1x))) = 0 6x((49 + -7x + (-7x + 1x2))) = 0 Combine like terms: -7x + -7x = -14x 6x((49 + -14x + 1x2)) = 0 (49 * 6x + -14x * 6x + 1x2 * 6x) = 0 (294x + -84x2 + 6x3) = 0 Solving 294x + -84x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(49 + -14x + x2) = 0 Factor a trinomial. 6x((7 + -1x)(7 + -1x)) = 0 Ignore the factor 6.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 = 0Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0, 7, 7}
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