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Simplifying -2x2 + 8x + 3 = 3 Reorder the terms: 3 + 8x + -2x2 = 3 Add '-3' to each side of the equation. 3 + 8x + -3 + -2x2 = 3 + -3 Reorder the terms: 3 + -3 + 8x + -2x2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + 8x + -2x2 = 3 + -3 8x + -2x2 = 3 + -3 Combine like terms: 3 + -3 = 0 8x + -2x2 = 0 Solving 8x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, 4}
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