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Simplifying 134x2 + 308x + 188 = 8x2 + 4x + 4 Reorder the terms: 188 + 308x + 134x2 = 8x2 + 4x + 4 Reorder the terms: 188 + 308x + 134x2 = 4 + 4x + 8x2 Solving 188 + 308x + 134x2 = 4 + 4x + 8x2 Solving for variable 'x'. Reorder the terms: 188 + -4 + 308x + -4x + 134x2 + -8x2 = 4 + 4x + 8x2 + -4 + -4x + -8x2 Combine like terms: 188 + -4 = 184 184 + 308x + -4x + 134x2 + -8x2 = 4 + 4x + 8x2 + -4 + -4x + -8x2 Combine like terms: 308x + -4x = 304x 184 + 304x + 134x2 + -8x2 = 4 + 4x + 8x2 + -4 + -4x + -8x2 Combine like terms: 134x2 + -8x2 = 126x2 184 + 304x + 126x2 = 4 + 4x + 8x2 + -4 + -4x + -8x2 Reorder the terms: 184 + 304x + 126x2 = 4 + -4 + 4x + -4x + 8x2 + -8x2 Combine like terms: 4 + -4 = 0 184 + 304x + 126x2 = 0 + 4x + -4x + 8x2 + -8x2 184 + 304x + 126x2 = 4x + -4x + 8x2 + -8x2 Combine like terms: 4x + -4x = 0 184 + 304x + 126x2 = 0 + 8x2 + -8x2 184 + 304x + 126x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 184 + 304x + 126x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(92 + 152x + 63x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(92 + 152x + 63x2)' equal to zero and attempt to solve: Simplifying 92 + 152x + 63x2 = 0 Solving 92 + 152x + 63x2 = 0 Begin completing the square. Divide all terms by 63 the coefficient of the squared term: Divide each side by '63'. 1.46031746 + 2.412698413x + x2 = 0 Move the constant term to the right: Add '-1.46031746' to each side of the equation. 1.46031746 + 2.412698413x + -1.46031746 + x2 = 0 + -1.46031746 Reorder the terms: 1.46031746 + -1.46031746 + 2.412698413x + x2 = 0 + -1.46031746 Combine like terms: 1.46031746 + -1.46031746 = 0.00000000 0.00000000 + 2.412698413x + x2 = 0 + -1.46031746 2.412698413x + x2 = 0 + -1.46031746 Combine like terms: 0 + -1.46031746 = -1.46031746 2.412698413x + x2 = -1.46031746 The x term is 2.412698413x. Take half its coefficient (1.206349207). Square it (1.455278409) and add it to both sides. Add '1.455278409' to each side of the equation. 2.412698413x + 1.455278409 + x2 = -1.46031746 + 1.455278409 Reorder the terms: 1.455278409 + 2.412698413x + x2 = -1.46031746 + 1.455278409 Combine like terms: -1.46031746 + 1.455278409 = -0.005039051 1.455278409 + 2.412698413x + x2 = -0.005039051 Factor a perfect square on the left side: (x + 1.206349207)(x + 1.206349207) = -0.005039051 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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