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Simplifying 4x2 + 27x = 24x Reorder the terms: 27x + 4x2 = 24x Solving 27x + 4x2 = 24x Solving for variable 'x'. Reorder the terms: 27x + -24x + 4x2 = 24x + -24x Combine like terms: 27x + -24x = 3x 3x + 4x2 = 24x + -24x Combine like terms: 24x + -24x = 0 3x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {0, -0.75}
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