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Simplifying (4y + -4)(10x + 65) = 0 Reorder the terms: (-4 + 4y)(10x + 65) = 0 Reorder the terms: (-4 + 4y)(65 + 10x) = 0 Multiply (-4 + 4y) * (65 + 10x) (-4(65 + 10x) + 4y * (65 + 10x)) = 0 ((65 * -4 + 10x * -4) + 4y * (65 + 10x)) = 0 ((-260 + -40x) + 4y * (65 + 10x)) = 0 (-260 + -40x + (65 * 4y + 10x * 4y)) = 0 Reorder the terms: (-260 + -40x + (40xy + 260y)) = 0 (-260 + -40x + (40xy + 260y)) = 0 (-260 + -40x + 40xy + 260y) = 0 Solving -260 + -40x + 40xy + 260y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '260' to each side of the equation. -260 + -40x + 40xy + 260 + 260y = 0 + 260 Reorder the terms: -260 + 260 + -40x + 40xy + 260y = 0 + 260 Combine like terms: -260 + 260 = 0 0 + -40x + 40xy + 260y = 0 + 260 -40x + 40xy + 260y = 0 + 260 Combine like terms: 0 + 260 = 260 -40x + 40xy + 260y = 260 Add '-260y' to each side of the equation. -40x + 40xy + 260y + -260y = 260 + -260y Combine like terms: 260y + -260y = 0 -40x + 40xy + 0 = 260 + -260y -40x + 40xy = 260 + -260y Reorder the terms: -260 + -40x + 40xy + 260y = 260 + -260y + -260 + 260y Reorder the terms: -260 + -40x + 40xy + 260y = 260 + -260 + -260y + 260y Combine like terms: 260 + -260 = 0 -260 + -40x + 40xy + 260y = 0 + -260y + 260y -260 + -40x + 40xy + 260y = -260y + 260y Combine like terms: -260y + 260y = 0 -260 + -40x + 40xy + 260y = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(-13 + -2x + 2xy + 13y) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-13 + -2x + 2xy + 13y)' equal to zero and attempt to solve: Simplifying -13 + -2x + 2xy + 13y = 0 Solving -13 + -2x + 2xy + 13y = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + -2x + 2xy + 13 + 13y = 0 + 13 Reorder the terms: -13 + 13 + -2x + 2xy + 13y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x + 2xy + 13y = 0 + 13 -2x + 2xy + 13y = 0 + 13 Combine like terms: 0 + 13 = 13 -2x + 2xy + 13y = 13 Add '-13y' to each side of the equation. -2x + 2xy + 13y + -13y = 13 + -13y Combine like terms: 13y + -13y = 0 -2x + 2xy + 0 = 13 + -13y -2x + 2xy = 13 + -13y 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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