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Simplifying 2(2x2 + 14x) = 9x2 Reorder the terms: 2(14x + 2x2) = 9x2 (14x * 2 + 2x2 * 2) = 9x2 (28x + 4x2) = 9x2 Solving 28x + 4x2 = 9x2 Solving for variable 'x'. Combine like terms: 4x2 + -9x2 = -5x2 28x + -5x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 28x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(28 + -5x) = 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 '(28 + -5x)' equal to zero and attempt to solve: Simplifying 28 + -5x = 0 Solving 28 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -5x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 0 + -28 -5x = 0 + -28 Combine like terms: 0 + -28 = -28 -5x = -28 Divide each side by '-5'. x = 5.6 Simplifying x = 5.6Solution
x = {0, 5.6}
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