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Simplifying 17x2 + -1x + -6 = -4x + 6 + 2x2 Reorder the terms: -6 + -1x + 17x2 = -4x + 6 + 2x2 Reorder the terms: -6 + -1x + 17x2 = 6 + -4x + 2x2 Solving -6 + -1x + 17x2 = 6 + -4x + 2x2 Solving for variable 'x'. Reorder the terms: -6 + -6 + -1x + 4x + 17x2 + -2x2 = 6 + -4x + 2x2 + -6 + 4x + -2x2 Combine like terms: -6 + -6 = -12 -12 + -1x + 4x + 17x2 + -2x2 = 6 + -4x + 2x2 + -6 + 4x + -2x2 Combine like terms: -1x + 4x = 3x -12 + 3x + 17x2 + -2x2 = 6 + -4x + 2x2 + -6 + 4x + -2x2 Combine like terms: 17x2 + -2x2 = 15x2 -12 + 3x + 15x2 = 6 + -4x + 2x2 + -6 + 4x + -2x2 Reorder the terms: -12 + 3x + 15x2 = 6 + -6 + -4x + 4x + 2x2 + -2x2 Combine like terms: 6 + -6 = 0 -12 + 3x + 15x2 = 0 + -4x + 4x + 2x2 + -2x2 -12 + 3x + 15x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 -12 + 3x + 15x2 = 0 + 2x2 + -2x2 -12 + 3x + 15x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12 + 3x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + x + 5x2) = 0 Factor a trinomial. 3((-1 + -1x)(4 + -5x)) = 0 Ignore the factor 3.Subproblem 1
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 2
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 = {-1, 0.8}
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