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Simplifying 9x(x + -3) = 5x2 + -28x Reorder the terms: 9x(-3 + x) = 5x2 + -28x (-3 * 9x + x * 9x) = 5x2 + -28x (-27x + 9x2) = 5x2 + -28x Reorder the terms: -27x + 9x2 = -28x + 5x2 Solving -27x + 9x2 = -28x + 5x2 Solving for variable 'x'. Reorder the terms: -27x + 28x + 9x2 + -5x2 = -28x + 5x2 + 28x + -5x2 Combine like terms: -27x + 28x = 1x 1x + 9x2 + -5x2 = -28x + 5x2 + 28x + -5x2 Combine like terms: 9x2 + -5x2 = 4x2 1x + 4x2 = -28x + 5x2 + 28x + -5x2 Reorder the terms: 1x + 4x2 = -28x + 28x + 5x2 + -5x2 Combine like terms: -28x + 28x = 0 1x + 4x2 = 0 + 5x2 + -5x2 1x + 4x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 1x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 4x) = 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 '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {0, -0.25}
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