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Simplifying X(x + 2) * 30(x + -2) = 9(x + -2)(x + 2) Reorder the terms: X(2 + x) * 30(x + -2) = 9(x + -2)(x + 2) Reorder the terms: X(2 + x) * 30(-2 + x) = 9(x + -2)(x + 2) Reorder the terms for easier multiplication: 30X(2 + x)(-2 + x) = 9(x + -2)(x + 2) Multiply (2 + x) * (-2 + x) 30X(2(-2 + x) + x(-2 + x)) = 9(x + -2)(x + 2) 30X((-2 * 2 + x * 2) + x(-2 + x)) = 9(x + -2)(x + 2) 30X((-4 + 2x) + x(-2 + x)) = 9(x + -2)(x + 2) 30X(-4 + 2x + (-2 * x + x * x)) = 9(x + -2)(x + 2) 30X(-4 + 2x + (-2x + x2)) = 9(x + -2)(x + 2) Combine like terms: 2x + -2x = 0 30X(-4 + 0 + x2) = 9(x + -2)(x + 2) 30X(-4 + x2) = 9(x + -2)(x + 2) (-4 * 30X + x2 * 30X) = 9(x + -2)(x + 2) (-120X + 30x2X) = 9(x + -2)(x + 2) Reorder the terms: -120X + 30x2X = 9(-2 + x)(x + 2) Reorder the terms: -120X + 30x2X = 9(-2 + x)(2 + x) Multiply (-2 + x) * (2 + x) -120X + 30x2X = 9(-2(2 + x) + x(2 + x)) -120X + 30x2X = 9((2 * -2 + x * -2) + x(2 + x)) -120X + 30x2X = 9((-4 + -2x) + x(2 + x)) -120X + 30x2X = 9(-4 + -2x + (2 * x + x * x)) -120X + 30x2X = 9(-4 + -2x + (2x + x2)) Combine like terms: -2x + 2x = 0 -120X + 30x2X = 9(-4 + 0 + x2) -120X + 30x2X = 9(-4 + x2) -120X + 30x2X = (-4 * 9 + x2 * 9) -120X + 30x2X = (-36 + 9x2) Solving -120X + 30x2X = -36 + 9x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 36 + -120X + -9x2 + 30x2X = -36 + 9x2 + 36 + -9x2 Reorder the terms: 36 + -120X + -9x2 + 30x2X = -36 + 36 + 9x2 + -9x2 Combine like terms: -36 + 36 = 0 36 + -120X + -9x2 + 30x2X = 0 + 9x2 + -9x2 36 + -120X + -9x2 + 30x2X = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 36 + -120X + -9x2 + 30x2X = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -40X + -3x2 + 10x2X) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(12 + -40X + -3x2 + 10x2X)' equal to zero and attempt to solve: Simplifying 12 + -40X + -3x2 + 10x2X = 0 Solving 12 + -40X + -3x2 + 10x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -40X + -3x2 + -12 + 10x2X = 0 + -12 Reorder the terms: 12 + -12 + -40X + -3x2 + 10x2X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -40X + -3x2 + 10x2X = 0 + -12 -40X + -3x2 + 10x2X = 0 + -12 Combine like terms: 0 + -12 = -12 -40X + -3x2 + 10x2X = -12 Add '3x2' to each side of the equation. -40X + -3x2 + 3x2 + 10x2X = -12 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -40X + 0 + 10x2X = -12 + 3x2 -40X + 10x2X = -12 + 3x2 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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