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Simplifying 5x(4x + -3) = 8x Reorder the terms: 5x(-3 + 4x) = 8x (-3 * 5x + 4x * 5x) = 8x (-15x + 20x2) = 8x Solving -15x + 20x2 = 8x Solving for variable 'x'. Reorder the terms: -15x + -8x + 20x2 = 8x + -8x Combine like terms: -15x + -8x = -23x -23x + 20x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -23x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-23 + 20x) = 0Subproblem 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 '(-23 + 20x)' equal to zero and attempt to solve: Simplifying -23 + 20x = 0 Solving -23 + 20x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 20x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 20x = 0 + 23 20x = 0 + 23 Combine like terms: 0 + 23 = 23 20x = 23 Divide each side by '20'. x = 1.15 Simplifying x = 1.15Solution
x = {0, 1.15}
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