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Simplifying (x2 + -8x2 + 2) + -1(x3 + 8x2 + 2) = 0 Reorder the terms: (2 + x2 + -8x2) + -1(x3 + 8x2 + 2) = 0 Combine like terms: x2 + -8x2 = -7x2 (2 + -7x2) + -1(x3 + 8x2 + 2) = 0 Remove parenthesis around (2 + -7x2) 2 + -7x2 + -1(x3 + 8x2 + 2) = 0 Reorder the terms: 2 + -7x2 + -1(2 + 8x2 + x3) = 0 2 + -7x2 + (2 * -1 + 8x2 * -1 + x3 * -1) = 0 2 + -7x2 + (-2 + -8x2 + -1x3) = 0 Reorder the terms: 2 + -2 + -7x2 + -8x2 + -1x3 = 0 Combine like terms: 2 + -2 = 0 0 + -7x2 + -8x2 + -1x3 = 0 -7x2 + -8x2 + -1x3 = 0 Combine like terms: -7x2 + -8x2 = -15x2 -15x2 + -1x3 = 0 Solving -15x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(15 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {0, -15}
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