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Simplifying 9x = -15 + -12y(7x + -95 + 12y) Reorder the terms: 9x = -15 + -12y(-95 + 7x + 12y) 9x = -15 + (-95 * -12y + 7x * -12y + 12y * -12y) Reorder the terms: 9x = -15 + (-84xy + 1140y + -144y2) 9x = -15 + (-84xy + 1140y + -144y2) Solving 9x = -15 + -84xy + 1140y + -144y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84xy' to each side of the equation. 9x + 84xy = -15 + -84xy + 1140y + 84xy + -144y2 Reorder the terms: 9x + 84xy = -15 + -84xy + 84xy + 1140y + -144y2 Combine like terms: -84xy + 84xy = 0 9x + 84xy = -15 + 0 + 1140y + -144y2 9x + 84xy = -15 + 1140y + -144y2 Reorder the terms: 15 + 9x + 84xy + -1140y + 144y2 = -15 + 1140y + -144y2 + 15 + -1140y + 144y2 Reorder the terms: 15 + 9x + 84xy + -1140y + 144y2 = -15 + 15 + 1140y + -1140y + -144y2 + 144y2 Combine like terms: -15 + 15 = 0 15 + 9x + 84xy + -1140y + 144y2 = 0 + 1140y + -1140y + -144y2 + 144y2 15 + 9x + 84xy + -1140y + 144y2 = 1140y + -1140y + -144y2 + 144y2 Combine like terms: 1140y + -1140y = 0 15 + 9x + 84xy + -1140y + 144y2 = 0 + -144y2 + 144y2 15 + 9x + 84xy + -1140y + 144y2 = -144y2 + 144y2 Combine like terms: -144y2 + 144y2 = 0 15 + 9x + 84xy + -1140y + 144y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 3x + 28xy + -380y + 48y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + 3x + 28xy + -380y + 48y2)' equal to zero and attempt to solve: Simplifying 5 + 3x + 28xy + -380y + 48y2 = 0 Solving 5 + 3x + 28xy + -380y + 48y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3x + 28xy + -380y + -5 + 48y2 = 0 + -5 Reorder the terms: 5 + -5 + 3x + 28xy + -380y + 48y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x + 28xy + -380y + 48y2 = 0 + -5 3x + 28xy + -380y + 48y2 = 0 + -5 Combine like terms: 0 + -5 = -5 3x + 28xy + -380y + 48y2 = -5 Add '380y' to each side of the equation. 3x + 28xy + -380y + 380y + 48y2 = -5 + 380y Combine like terms: -380y + 380y = 0 3x + 28xy + 0 + 48y2 = -5 + 380y 3x + 28xy + 48y2 = -5 + 380y Add '-48y2' to each side of the equation. 3x + 28xy + 48y2 + -48y2 = -5 + 380y + -48y2 Combine like terms: 48y2 + -48y2 = 0 3x + 28xy + 0 = -5 + 380y + -48y2 3x + 28xy = -5 + 380y + -48y2 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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