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Simplifying 14x = 2x(5x + 14) Reorder the terms: 14x = 2x(14 + 5x) 14x = (14 * 2x + 5x * 2x) 14x = (28x + 10x2) Solving 14x = 28x + 10x2 Solving for variable 'x'. Combine like terms: 14x + -28x = -14x -14x + -10x2 = 28x + 10x2 + -28x + -10x2 Reorder the terms: -14x + -10x2 = 28x + -28x + 10x2 + -10x2 Combine like terms: 28x + -28x = 0 -14x + -10x2 = 0 + 10x2 + -10x2 -14x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -14x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(7 + 5x) = 0 Ignore the factor -2.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 '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {0, -1.4}
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