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Simplifying -1x2 + -18x + -90 = 0 Reorder the terms: -90 + -18x + -1x2 = 0 Solving -90 + -18x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(90 + 18x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(90 + 18x + x2)' equal to zero and attempt to solve: Simplifying 90 + 18x + x2 = 0 Solving 90 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-90' to each side of the equation. 90 + 18x + -90 + x2 = 0 + -90 Reorder the terms: 90 + -90 + 18x + x2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 18x + x2 = 0 + -90 18x + x2 = 0 + -90 Combine like terms: 0 + -90 = -90 18x + x2 = -90 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -90 + 81 Reorder the terms: 81 + 18x + x2 = -90 + 81 Combine like terms: -90 + 81 = -9 81 + 18x + x2 = -9 Factor a perfect square on the left side: (x + 9)(x + 9) = -9 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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