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Simplifying (2x2 + -3x3) + -1(-6x2 + -5x3) = 0 Remove parenthesis around (2x2 + -3x3) 2x2 + -3x3 + -1(-6x2 + -5x3) = 0 2x2 + -3x3 + (-6x2 * -1 + -5x3 * -1) = 0 2x2 + -3x3 + (6x2 + 5x3) = 0 Reorder the terms: 2x2 + 6x2 + -3x3 + 5x3 = 0 Combine like terms: 2x2 + 6x2 = 8x2 8x2 + -3x3 + 5x3 = 0 Combine like terms: -3x3 + 5x3 = 2x3 8x2 + 2x3 = 0 Solving 8x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(4 + x) = 0 Ignore the factor 2.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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -4}
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