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Simplifying (8x3 + -7x2 + 3x) + (2x3 + 9x2 + -11x) = 0 Reorder the terms: (3x + -7x2 + 8x3) + (2x3 + 9x2 + -11x) = 0 Remove parenthesis around (3x + -7x2 + 8x3) 3x + -7x2 + 8x3 + (2x3 + 9x2 + -11x) = 0 Reorder the terms: 3x + -7x2 + 8x3 + (-11x + 9x2 + 2x3) = 0 Remove parenthesis around (-11x + 9x2 + 2x3) 3x + -7x2 + 8x3 + -11x + 9x2 + 2x3 = 0 Reorder the terms: 3x + -11x + -7x2 + 9x2 + 8x3 + 2x3 = 0 Combine like terms: 3x + -11x = -8x -8x + -7x2 + 9x2 + 8x3 + 2x3 = 0 Combine like terms: -7x2 + 9x2 = 2x2 -8x + 2x2 + 8x3 + 2x3 = 0 Combine like terms: 8x3 + 2x3 = 10x3 -8x + 2x2 + 10x3 = 0 Solving -8x + 2x2 + 10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + x + 5x2) = 0 Factor a trinomial. 2x((-1 + -1x)(4 + -5x)) = 0 Ignore the factor 2.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 '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {0, -1, 0.8}
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