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Simplifying 2x2 + 32x + 188 = 0 Reorder the terms: 188 + 32x + 2x2 = 0 Solving 188 + 32x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(94 + 16x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(94 + 16x + x2)' equal to zero and attempt to solve: Simplifying 94 + 16x + x2 = 0 Solving 94 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-94' to each side of the equation. 94 + 16x + -94 + x2 = 0 + -94 Reorder the terms: 94 + -94 + 16x + x2 = 0 + -94 Combine like terms: 94 + -94 = 0 0 + 16x + x2 = 0 + -94 16x + x2 = 0 + -94 Combine like terms: 0 + -94 = -94 16x + x2 = -94 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -94 + 64 Reorder the terms: 64 + 16x + x2 = -94 + 64 Combine like terms: -94 + 64 = -30 64 + 16x + x2 = -30 Factor a perfect square on the left side: (x + 8)(x + 8) = -30 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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