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Simplifying 4x2 + -10x + 8 = 2x2 + -4 Reorder the terms: 8 + -10x + 4x2 = 2x2 + -4 Reorder the terms: 8 + -10x + 4x2 = -4 + 2x2 Solving 8 + -10x + 4x2 = -4 + 2x2 Solving for variable 'x'. Reorder the terms: 8 + 4 + -10x + 4x2 + -2x2 = -4 + 2x2 + 4 + -2x2 Combine like terms: 8 + 4 = 12 12 + -10x + 4x2 + -2x2 = -4 + 2x2 + 4 + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 12 + -10x + 2x2 = -4 + 2x2 + 4 + -2x2 Reorder the terms: 12 + -10x + 2x2 = -4 + 4 + 2x2 + -2x2 Combine like terms: -4 + 4 = 0 12 + -10x + 2x2 = 0 + 2x2 + -2x2 12 + -10x + 2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 12 + -10x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -5x + x2) = 0 Factor a trinomial. 2((2 + -1x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {2, 3}
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