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Simplifying X(2x + -2) + x(2 + -3) = (4x + 5)(x + -2) Reorder the terms: X(-2 + 2x) + x(2 + -3) = (4x + 5)(x + -2) (-2 * X + 2x * X) + x(2 + -3) = (4x + 5)(x + -2) (-2X + 2xX) + x(2 + -3) = (4x + 5)(x + -2) Combine like terms: 2 + -3 = -1 -2X + 2xX + x(-1) = (4x + 5)(x + -2) Reorder the terms for easier multiplication: -2X + 2xX + -1x = (4x + 5)(x + -2) Reorder the terms: -2X + -1x + 2xX = (4x + 5)(x + -2) Reorder the terms: -2X + -1x + 2xX = (5 + 4x)(x + -2) Reorder the terms: -2X + -1x + 2xX = (5 + 4x)(-2 + x) Multiply (5 + 4x) * (-2 + x) -2X + -1x + 2xX = (5(-2 + x) + 4x * (-2 + x)) -2X + -1x + 2xX = ((-2 * 5 + x * 5) + 4x * (-2 + x)) -2X + -1x + 2xX = ((-10 + 5x) + 4x * (-2 + x)) -2X + -1x + 2xX = (-10 + 5x + (-2 * 4x + x * 4x)) -2X + -1x + 2xX = (-10 + 5x + (-8x + 4x2)) Combine like terms: 5x + -8x = -3x -2X + -1x + 2xX = (-10 + -3x + 4x2) Solving -2X + -1x + 2xX = -10 + -3x + 4x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. -2X + -1x + x + 2xX = -10 + -3x + x + 4x2 Combine like terms: -1x + x = 0 -2X + 0 + 2xX = -10 + -3x + x + 4x2 -2X + 2xX = -10 + -3x + x + 4x2 Combine like terms: -3x + x = -2x -2X + 2xX = -10 + -2x + 4x2 Reorder the terms: 10 + -2X + 2x + 2xX + -4x2 = -10 + -2x + 4x2 + 10 + 2x + -4x2 Reorder the terms: 10 + -2X + 2x + 2xX + -4x2 = -10 + 10 + -2x + 2x + 4x2 + -4x2 Combine like terms: -10 + 10 = 0 10 + -2X + 2x + 2xX + -4x2 = 0 + -2x + 2x + 4x2 + -4x2 10 + -2X + 2x + 2xX + -4x2 = -2x + 2x + 4x2 + -4x2 Combine like terms: -2x + 2x = 0 10 + -2X + 2x + 2xX + -4x2 = 0 + 4x2 + -4x2 10 + -2X + 2x + 2xX + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 10 + -2X + 2x + 2xX + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -1X + x + xX + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1X + x + xX + -2x2)' equal to zero and attempt to solve: Simplifying 5 + -1X + x + xX + -2x2 = 0 Solving 5 + -1X + x + xX + -2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1X + x + xX + -5 + -2x2 = 0 + -5 Reorder the terms: 5 + -5 + -1X + x + xX + -2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X + x + xX + -2x2 = 0 + -5 -1X + x + xX + -2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1X + x + xX + -2x2 = -5 Add '-1x' to each side of the equation. -1X + x + xX + -1x + -2x2 = -5 + -1x Reorder the terms: -1X + x + -1x + xX + -2x2 = -5 + -1x Combine like terms: x + -1x = 0 -1X + 0 + xX + -2x2 = -5 + -1x -1X + xX + -2x2 = -5 + -1x Add '2x2' to each side of the equation. -1X + xX + -2x2 + 2x2 = -5 + -1x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -1X + xX + 0 = -5 + -1x + 2x2 -1X + xX = -5 + -1x + 2x2 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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