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Simplifying 8x = 2x(2x) Remove parenthesis around (2x) 8x = 2x * 2x Reorder the terms for easier multiplication: 8x = 2 * 2x * x Multiply 2 * 2 8x = 4x * x Multiply x * x 8x = 4x2 Solving 8x = 4x2 Solving for variable 'x'. Combine like terms: 4x2 + -4x2 = 0 8x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + -1x) = 0 Ignore the factor 4.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 '(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 = 2Solution
x = {0, 2}
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