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Simplifying 2x + 8 = 8x2 + -4x + 8 Reorder the terms: 8 + 2x = 8x2 + -4x + 8 Reorder the terms: 8 + 2x = 8 + -4x + 8x2 Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -4x + -8 + 8x2 Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -4x + -8 + 8x2 2x = 8 + -4x + -8 + 8x2 Reorder the terms: 2x = 8 + -8 + -4x + 8x2 Combine like terms: 8 + -8 = 0 2x = 0 + -4x + 8x2 2x = -4x + 8x2 Solving 2x = -4x + 8x2 Solving for variable 'x'. Combine like terms: 2x + 4x = 6x 6x + -8x2 = -4x + 8x2 + 4x + -8x2 Reorder the terms: 6x + -8x2 = -4x + 4x + 8x2 + -8x2 Combine like terms: -4x + 4x = 0 6x + -8x2 = 0 + 8x2 + -8x2 6x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 6x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + -4x) = 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 '(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 = 0.75Solution
x = {0, 0.75}
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