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Simplifying 14x2 + 32 = -64x Reorder the terms: 32 + 14x2 = -64x Solving 32 + 14x2 = -64x Solving for variable 'x'. Reorder the terms: 32 + 64x + 14x2 = -64x + 64x Combine like terms: -64x + 64x = 0 32 + 64x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 32x + 7x2) = 0 Factor a trinomial. 2((4 + x)(4 + 7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Solution
x = {-4, -0.5714285714}
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