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Simplifying 2x + 4 + -10x2 = 8x Reorder the terms: 4 + 2x + -10x2 = 8x Solving 4 + 2x + -10x2 = 8x Solving for variable 'x'. Reorder the terms: 4 + 2x + -8x + -10x2 = 8x + -8x Combine like terms: 2x + -8x = -6x 4 + -6x + -10x2 = 8x + -8x Combine like terms: 8x + -8x = 0 4 + -6x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3x + -5x2) = 0 Factor a trinomial. 2((2 + -5x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 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 = {0.4, -1}
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