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Simplifying -8x2 + -10x + 16 = 4 Reorder the terms: 16 + -10x + -8x2 = 4 Solving 16 + -10x + -8x2 = 4 Solving for variable 'x'. Reorder the terms: 16 + -4 + -10x + -8x2 = 4 + -4 Combine like terms: 16 + -4 = 12 12 + -10x + -8x2 = 4 + -4 Combine like terms: 4 + -4 = 0 12 + -10x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -5x + -4x2) = 0 Factor a trinomial. 2((3 + -4x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0.75, -2}
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