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Simplifying 14x = 16x(1x + 12) Reorder the terms: 14x = 16x(12 + 1x) 14x = (12 * 16x + 1x * 16x) 14x = (192x + 16x2) Solving 14x = 192x + 16x2 Solving for variable 'x'. Combine like terms: 14x + -192x = -178x -178x + -16x2 = 192x + 16x2 + -192x + -16x2 Reorder the terms: -178x + -16x2 = 192x + -192x + 16x2 + -16x2 Combine like terms: 192x + -192x = 0 -178x + -16x2 = 0 + 16x2 + -16x2 -178x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -178x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(89 + 8x) = 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 '(89 + 8x)' equal to zero and attempt to solve: Simplifying 89 + 8x = 0 Solving 89 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 8x = 0 + -89 Combine like terms: 89 + -89 = 0 0 + 8x = 0 + -89 8x = 0 + -89 Combine like terms: 0 + -89 = -89 8x = -89 Divide each side by '8'. x = -11.125 Simplifying x = -11.125Solution
x = {0, -11.125}
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