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Simplifying 4x2 + 32x + 30 = -34 Reorder the terms: 30 + 32x + 4x2 = -34 Solving 30 + 32x + 4x2 = -34 Solving for variable 'x'. Reorder the terms: 30 + 34 + 32x + 4x2 = -34 + 34 Combine like terms: 30 + 34 = 64 64 + 32x + 4x2 = -34 + 34 Combine like terms: -34 + 34 = 0 64 + 32x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 8x + x2) = 0 Factor a trinomial. 4((4 + x)(4 + x)) = 0 Ignore the factor 4.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 + 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 = -4Solution
x = {-4, -4}
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