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Simplifying 13 + 4X(5 + x) + -10x = 7 13 + (5 * 4X + x * 4X) + -10x = 7 13 + (20X + 4xX) + -10x = 7 Reorder the terms: 13 + 20X + -10x + 4xX = 7 Solving 13 + 20X + -10x + 4xX = 7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 20X + -10x + -13 + 4xX = 7 + -13 Reorder the terms: 13 + -13 + 20X + -10x + 4xX = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 20X + -10x + 4xX = 7 + -13 20X + -10x + 4xX = 7 + -13 Combine like terms: 7 + -13 = -6 20X + -10x + 4xX = -6 Add '10x' to each side of the equation. 20X + -10x + 10x + 4xX = -6 + 10x Combine like terms: -10x + 10x = 0 20X + 0 + 4xX = -6 + 10x 20X + 4xX = -6 + 10x Reorder the terms: 6 + 20X + -10x + 4xX = -6 + 10x + 6 + -10x Reorder the terms: 6 + 20X + -10x + 4xX = -6 + 6 + 10x + -10x Combine like terms: -6 + 6 = 0 6 + 20X + -10x + 4xX = 0 + 10x + -10x 6 + 20X + -10x + 4xX = 10x + -10x Combine like terms: 10x + -10x = 0 6 + 20X + -10x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 10X + -5x + 2xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 10X + -5x + 2xX)' equal to zero and attempt to solve: Simplifying 3 + 10X + -5x + 2xX = 0 Solving 3 + 10X + -5x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10X + -5x + -3 + 2xX = 0 + -3 Reorder the terms: 3 + -3 + 10X + -5x + 2xX = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10X + -5x + 2xX = 0 + -3 10X + -5x + 2xX = 0 + -3 Combine like terms: 0 + -3 = -3 10X + -5x + 2xX = -3 Add '5x' to each side of the equation. 10X + -5x + 5x + 2xX = -3 + 5x Combine like terms: -5x + 5x = 0 10X + 0 + 2xX = -3 + 5x 10X + 2xX = -3 + 5x 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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