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Simplifying x2 + -2x + -1(-8x2) + -1(-7x) + -4x2 = 0 Remove parenthesis around (-8x2) x2 + -2x + -1 * -8x2 + -1(-7x) + -4x2 = 0 Multiply -1 * -8 x2 + -2x + 8x2 + -1(-7x) + -4x2 = 0 Remove parenthesis around (-7x) x2 + -2x + 8x2 + -1 * -7x + -4x2 = 0 Multiply -1 * -7 x2 + -2x + 8x2 + 7x + -4x2 = 0 Reorder the terms: -2x + 7x + x2 + 8x2 + -4x2 = 0 Combine like terms: -2x + 7x = 5x 5x + x2 + 8x2 + -4x2 = 0 Combine like terms: x2 + 8x2 = 9x2 5x + 9x2 + -4x2 = 0 Combine like terms: 9x2 + -4x2 = 5x2 5x + 5x2 = 0 Solving 5x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + x) = 0 Ignore the factor 5.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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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