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Simplifying 4x = 8x(2x + -3) Reorder the terms: 4x = 8x(-3 + 2x) 4x = (-3 * 8x + 2x * 8x) 4x = (-24x + 16x2) Solving 4x = -24x + 16x2 Solving for variable 'x'. Combine like terms: 4x + 24x = 28x 28x + -16x2 = -24x + 16x2 + 24x + -16x2 Reorder the terms: 28x + -16x2 = -24x + 24x + 16x2 + -16x2 Combine like terms: -24x + 24x = 0 28x + -16x2 = 0 + 16x2 + -16x2 28x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 28x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(7 + -4x) = 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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {0, 1.75}
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