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Simplifying X(8 + -2x)(10 + -2x) + -40 = 0 Multiply (8 + -2x) * (10 + -2x) X(8(10 + -2x) + -2x * (10 + -2x)) + -40 = 0 X((10 * 8 + -2x * 8) + -2x * (10 + -2x)) + -40 = 0 X((80 + -16x) + -2x * (10 + -2x)) + -40 = 0 X(80 + -16x + (10 * -2x + -2x * -2x)) + -40 = 0 X(80 + -16x + (-20x + 4x2)) + -40 = 0 Combine like terms: -16x + -20x = -36x X(80 + -36x + 4x2) + -40 = 0 (80 * X + -36x * X + 4x2 * X) + -40 = 0 (80X + -36xX + 4x2X) + -40 = 0 Reorder the terms: -40 + 80X + -36xX + 4x2X = 0 Solving -40 + 80X + -36xX + 4x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 80X + -36xX + 40 + 4x2X = 0 + 40 Reorder the terms: -40 + 40 + 80X + -36xX + 4x2X = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 80X + -36xX + 4x2X = 0 + 40 80X + -36xX + 4x2X = 0 + 40 Combine like terms: 0 + 40 = 40 80X + -36xX + 4x2X = 40 Reorder the terms: -40 + 80X + -36xX + 4x2X = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 80X + -36xX + 4x2X = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + 20X + -9xX + x2X) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-10 + 20X + -9xX + x2X)' equal to zero and attempt to solve: Simplifying -10 + 20X + -9xX + x2X = 0 Solving -10 + 20X + -9xX + x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 20X + -9xX + 10 + x2X = 0 + 10 Reorder the terms: -10 + 10 + 20X + -9xX + x2X = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 20X + -9xX + x2X = 0 + 10 20X + -9xX + x2X = 0 + 10 Combine like terms: 0 + 10 = 10 20X + -9xX + x2X = 10 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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