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Simplifying (3x + 4)(4y + -3) = x Reorder the terms: (4 + 3x)(4y + -3) = x Reorder the terms: (4 + 3x)(-3 + 4y) = x Multiply (4 + 3x) * (-3 + 4y) (4(-3 + 4y) + 3x * (-3 + 4y)) = x ((-3 * 4 + 4y * 4) + 3x * (-3 + 4y)) = x ((-12 + 16y) + 3x * (-3 + 4y)) = x (-12 + 16y + (-3 * 3x + 4y * 3x)) = x (-12 + 16y + (-9x + 12xy)) = x Reorder the terms: (-12 + -9x + 12xy + 16y) = x (-12 + -9x + 12xy + 16y) = x Solving -12 + -9x + 12xy + 16y = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -9x + 12xy + -1x + 16y = x + -1x Reorder the terms: -12 + -9x + -1x + 12xy + 16y = x + -1x Combine like terms: -9x + -1x = -10x -12 + -10x + 12xy + 16y = x + -1x Combine like terms: x + -1x = 0 -12 + -10x + 12xy + 16y = 0 Add '12' to each side of the equation. -12 + -10x + 12xy + 12 + 16y = 0 + 12 Reorder the terms: -12 + 12 + -10x + 12xy + 16y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -10x + 12xy + 16y = 0 + 12 -10x + 12xy + 16y = 0 + 12 Combine like terms: 0 + 12 = 12 -10x + 12xy + 16y = 12 Add '-16y' to each side of the equation. -10x + 12xy + 16y + -16y = 12 + -16y Combine like terms: 16y + -16y = 0 -10x + 12xy + 0 = 12 + -16y -10x + 12xy = 12 + -16y Reorder the terms: -12 + -10x + 12xy + 16y = 12 + -16y + -12 + 16y Reorder the terms: -12 + -10x + 12xy + 16y = 12 + -12 + -16y + 16y Combine like terms: 12 + -12 = 0 -12 + -10x + 12xy + 16y = 0 + -16y + 16y -12 + -10x + 12xy + 16y = -16y + 16y Combine like terms: -16y + 16y = 0 -12 + -10x + 12xy + 16y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -5x + 6xy + 8y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -5x + 6xy + 8y)' equal to zero and attempt to solve: Simplifying -6 + -5x + 6xy + 8y = 0 Solving -6 + -5x + 6xy + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -5x + 6xy + 6 + 8y = 0 + 6 Reorder the terms: -6 + 6 + -5x + 6xy + 8y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x + 6xy + 8y = 0 + 6 -5x + 6xy + 8y = 0 + 6 Combine like terms: 0 + 6 = 6 -5x + 6xy + 8y = 6 Add '-8y' to each side of the equation. -5x + 6xy + 8y + -8y = 6 + -8y Combine like terms: 8y + -8y = 0 -5x + 6xy + 0 = 6 + -8y -5x + 6xy = 6 + -8y 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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