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Simplifying 2x2 + 32x = 16x2 Reorder the terms: 32x + 2x2 = 16x2 Solving 32x + 2x2 = 16x2 Solving for variable 'x'. Combine like terms: 2x2 + -16x2 = -14x2 32x + -14x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 32x + -14x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(16 + -7x) = 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 '(16 + -7x)' equal to zero and attempt to solve: Simplifying 16 + -7x = 0 Solving 16 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = 0 + -16 -7x = 0 + -16 Combine like terms: 0 + -16 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286Solution
x = {0, 2.285714286}
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