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Simplifying -2x(7x + -7)(9x + 1) = 0 Reorder the terms: -2x(-7 + 7x)(9x + 1) = 0 Reorder the terms: -2x(-7 + 7x)(1 + 9x) = 0 Multiply (-7 + 7x) * (1 + 9x) -2x(-7(1 + 9x) + 7x * (1 + 9x)) = 0 -2x((1 * -7 + 9x * -7) + 7x * (1 + 9x)) = 0 -2x((-7 + -63x) + 7x * (1 + 9x)) = 0 -2x(-7 + -63x + (1 * 7x + 9x * 7x)) = 0 -2x(-7 + -63x + (7x + 63x2)) = 0 Combine like terms: -63x + 7x = -56x -2x(-7 + -56x + 63x2) = 0 (-7 * -2x + -56x * -2x + 63x2 * -2x) = 0 (14x + 112x2 + -126x3) = 0 Solving 14x + 112x2 + -126x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14x'. 14x(1 + 8x + -9x2) = 0 Factor a trinomial. 14x((1 + -1x)(1 + 9x)) = 0 Ignore the factor 14.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 3
Set the factor '(1 + 9x)' equal to zero and attempt to solve: Simplifying 1 + 9x = 0 Solving 1 + 9x = 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 + 9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 0 + -1 9x = 0 + -1 Combine like terms: 0 + -1 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111Solution
x = {0, 1, -0.1111111111}
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