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Simplifying -2y(x + -5) + 4 = 4(2x + -4) Reorder the terms: -2y(-5 + x) + 4 = 4(2x + -4) (-5 * -2y + x * -2y) + 4 = 4(2x + -4) Reorder the terms: (-2xy + 10y) + 4 = 4(2x + -4) (-2xy + 10y) + 4 = 4(2x + -4) Reorder the terms: 4 + -2xy + 10y = 4(2x + -4) Reorder the terms: 4 + -2xy + 10y = 4(-4 + 2x) 4 + -2xy + 10y = (-4 * 4 + 2x * 4) 4 + -2xy + 10y = (-16 + 8x) Solving 4 + -2xy + 10y = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -2xy + -8x + 10y = -16 + 8x + -8x Reorder the terms: 4 + -8x + -2xy + 10y = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -8x + -2xy + 10y = -16 + 0 4 + -8x + -2xy + 10y = -16 Add '-4' to each side of the equation. 4 + -8x + -2xy + -4 + 10y = -16 + -4 Reorder the terms: 4 + -4 + -8x + -2xy + 10y = -16 + -4 Combine like terms: 4 + -4 = 0 0 + -8x + -2xy + 10y = -16 + -4 -8x + -2xy + 10y = -16 + -4 Combine like terms: -16 + -4 = -20 -8x + -2xy + 10y = -20 Add '-10y' to each side of the equation. -8x + -2xy + 10y + -10y = -20 + -10y Combine like terms: 10y + -10y = 0 -8x + -2xy + 0 = -20 + -10y -8x + -2xy = -20 + -10y Reorder the terms: 20 + -8x + -2xy + 10y = -20 + -10y + 20 + 10y Reorder the terms: 20 + -8x + -2xy + 10y = -20 + 20 + -10y + 10y Combine like terms: -20 + 20 = 0 20 + -8x + -2xy + 10y = 0 + -10y + 10y 20 + -8x + -2xy + 10y = -10y + 10y Combine like terms: -10y + 10y = 0 20 + -8x + -2xy + 10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -4x + -1xy + 5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -4x + -1xy + 5y)' equal to zero and attempt to solve: Simplifying 10 + -4x + -1xy + 5y = 0 Solving 10 + -4x + -1xy + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -4x + -1xy + -10 + 5y = 0 + -10 Reorder the terms: 10 + -10 + -4x + -1xy + 5y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4x + -1xy + 5y = 0 + -10 -4x + -1xy + 5y = 0 + -10 Combine like terms: 0 + -10 = -10 -4x + -1xy + 5y = -10 Add '-5y' to each side of the equation. -4x + -1xy + 5y + -5y = -10 + -5y Combine like terms: 5y + -5y = 0 -4x + -1xy + 0 = -10 + -5y -4x + -1xy = -10 + -5y 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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