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Simplifying 0 = 144 + x2 + 18x Reorder the terms: 0 = 144 + 18x + x2 Solving 0 = 144 + 18x + x2 Solving for variable 'x'. Combine like terms: 0 + -144 = -144 -144 + -18x + -1x2 = 144 + 18x + x2 + -144 + -18x + -1x2 Reorder the terms: -144 + -18x + -1x2 = 144 + -144 + 18x + -18x + x2 + -1x2 Combine like terms: 144 + -144 = 0 -144 + -18x + -1x2 = 0 + 18x + -18x + x2 + -1x2 -144 + -18x + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 -144 + -18x + -1x2 = 0 + x2 + -1x2 -144 + -18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -144 + -18x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(144 + 18x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(144 + 18x + x2)' equal to zero and attempt to solve: Simplifying 144 + 18x + x2 = 0 Solving 144 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-144' to each side of the equation. 144 + 18x + -144 + x2 = 0 + -144 Reorder the terms: 144 + -144 + 18x + x2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 18x + x2 = 0 + -144 18x + x2 = 0 + -144 Combine like terms: 0 + -144 = -144 18x + x2 = -144 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 = -144 + 81 Reorder the terms: 81 + 18x + x2 = -144 + 81 Combine like terms: -144 + 81 = -63 81 + 18x + x2 = -63 Factor a perfect square on the left side: (x + 9)(x + 9) = -63 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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