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Simplifying 64x2 + 102x + 80 = 0 Reorder the terms: 80 + 102x + 64x2 = 0 Solving 80 + 102x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(40 + 51x + 32x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(40 + 51x + 32x2)' equal to zero and attempt to solve: Simplifying 40 + 51x + 32x2 = 0 Solving 40 + 51x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 1.25 + 1.59375x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 1.59375x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 1.59375x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 1.59375x + x2 = 0 + -1.25 1.59375x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 1.59375x + x2 = -1.25 The x term is 1.59375x. Take half its coefficient (0.796875). Square it (0.6350097656) and add it to both sides. Add '0.6350097656' to each side of the equation. 1.59375x + 0.6350097656 + x2 = -1.25 + 0.6350097656 Reorder the terms: 0.6350097656 + 1.59375x + x2 = -1.25 + 0.6350097656 Combine like terms: -1.25 + 0.6350097656 = -0.6149902344 0.6350097656 + 1.59375x + x2 = -0.6149902344 Factor a perfect square on the left side: (x + 0.796875)(x + 0.796875) = -0.6149902344 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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