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Simplifying 3x(x + -9) = 15x2 + 28x Reorder the terms: 3x(-9 + x) = 15x2 + 28x (-9 * 3x + x * 3x) = 15x2 + 28x (-27x + 3x2) = 15x2 + 28x Reorder the terms: -27x + 3x2 = 28x + 15x2 Solving -27x + 3x2 = 28x + 15x2 Solving for variable 'x'. Reorder the terms: -27x + -28x + 3x2 + -15x2 = 28x + 15x2 + -28x + -15x2 Combine like terms: -27x + -28x = -55x -55x + 3x2 + -15x2 = 28x + 15x2 + -28x + -15x2 Combine like terms: 3x2 + -15x2 = -12x2 -55x + -12x2 = 28x + 15x2 + -28x + -15x2 Reorder the terms: -55x + -12x2 = 28x + -28x + 15x2 + -15x2 Combine like terms: 28x + -28x = 0 -55x + -12x2 = 0 + 15x2 + -15x2 -55x + -12x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -55x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(55 + 12x) = 0 Ignore the factor -1.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 '(55 + 12x)' equal to zero and attempt to solve: Simplifying 55 + 12x = 0 Solving 55 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 12x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 12x = 0 + -55 12x = 0 + -55 Combine like terms: 0 + -55 = -55 12x = -55 Divide each side by '12'. x = -4.583333333 Simplifying x = -4.583333333Solution
x = {0, -4.583333333}
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