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Simplifying 162x + 731 = -7 + -9x2 Reorder the terms: 731 + 162x = -7 + -9x2 Solving 731 + 162x = -7 + -9x2 Solving for variable 'x'. Reorder the terms: 731 + 7 + 162x + 9x2 = -7 + -9x2 + 7 + 9x2 Combine like terms: 731 + 7 = 738 738 + 162x + 9x2 = -7 + -9x2 + 7 + 9x2 Reorder the terms: 738 + 162x + 9x2 = -7 + 7 + -9x2 + 9x2 Combine like terms: -7 + 7 = 0 738 + 162x + 9x2 = 0 + -9x2 + 9x2 738 + 162x + 9x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 738 + 162x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(82 + 18x + x2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(82 + 18x + x2)' equal to zero and attempt to solve: Simplifying 82 + 18x + x2 = 0 Solving 82 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-82' to each side of the equation. 82 + 18x + -82 + x2 = 0 + -82 Reorder the terms: 82 + -82 + 18x + x2 = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 18x + x2 = 0 + -82 18x + x2 = 0 + -82 Combine like terms: 0 + -82 = -82 18x + x2 = -82 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 = -82 + 81 Reorder the terms: 81 + 18x + x2 = -82 + 81 Combine like terms: -82 + 81 = -1 81 + 18x + x2 = -1 Factor a perfect square on the left side: (x + 9)(x + 9) = -1 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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