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Simplifying 4x2 + -90x + 576 = 0 Reorder the terms: 576 + -90x + 4x2 = 0 Solving 576 + -90x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(288 + -45x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(288 + -45x + 2x2)' equal to zero and attempt to solve: Simplifying 288 + -45x + 2x2 = 0 Solving 288 + -45x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 144 + -22.5x + x2 = 0 Move the constant term to the right: Add '-144' to each side of the equation. 144 + -22.5x + -144 + x2 = 0 + -144 Reorder the terms: 144 + -144 + -22.5x + x2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -22.5x + x2 = 0 + -144 -22.5x + x2 = 0 + -144 Combine like terms: 0 + -144 = -144 -22.5x + x2 = -144 The x term is -22.5x. Take half its coefficient (-11.25). Square it (126.5625) and add it to both sides. Add '126.5625' to each side of the equation. -22.5x + 126.5625 + x2 = -144 + 126.5625 Reorder the terms: 126.5625 + -22.5x + x2 = -144 + 126.5625 Combine like terms: -144 + 126.5625 = -17.4375 126.5625 + -22.5x + x2 = -17.4375 Factor a perfect square on the left side: (x + -11.25)(x + -11.25) = -17.4375 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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