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Simplifying -16x2 + 64x + -70 = 0 Reorder the terms: -70 + 64x + -16x2 = 0 Solving -70 + 64x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 32x + -8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-35 + 32x + -8x2)' equal to zero and attempt to solve: Simplifying -35 + 32x + -8x2 = 0 Solving -35 + 32x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 4.375 + -4x + x2 = 0 Move the constant term to the right: Add '-4.375' to each side of the equation. 4.375 + -4x + -4.375 + x2 = 0 + -4.375 Reorder the terms: 4.375 + -4.375 + -4x + x2 = 0 + -4.375 Combine like terms: 4.375 + -4.375 = 0.000 0.000 + -4x + x2 = 0 + -4.375 -4x + x2 = 0 + -4.375 Combine like terms: 0 + -4.375 = -4.375 -4x + x2 = -4.375 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.375 + 4 Reorder the terms: 4 + -4x + x2 = -4.375 + 4 Combine like terms: -4.375 + 4 = -0.375 4 + -4x + x2 = -0.375 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.375 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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