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Simplifying 6(x + 4) * y2 + 40(x + 4) * y + -64(x + 4) = 0 Reorder the terms: 6(4 + x) * y2 + 40(x + 4) * y + -64(x + 4) = 0 Reorder the terms for easier multiplication: 6y2(4 + x) + 40(x + 4) * y + -64(x + 4) = 0 (4 * 6y2 + x * 6y2) + 40(x + 4) * y + -64(x + 4) = 0 Reorder the terms: (6xy2 + 24y2) + 40(x + 4) * y + -64(x + 4) = 0 (6xy2 + 24y2) + 40(x + 4) * y + -64(x + 4) = 0 Reorder the terms: 6xy2 + 24y2 + 40(4 + x) * y + -64(x + 4) = 0 Reorder the terms for easier multiplication: 6xy2 + 24y2 + 40y(4 + x) + -64(x + 4) = 0 6xy2 + 24y2 + (4 * 40y + x * 40y) + -64(x + 4) = 0 Reorder the terms: 6xy2 + 24y2 + (40xy + 160y) + -64(x + 4) = 0 6xy2 + 24y2 + (40xy + 160y) + -64(x + 4) = 0 Reorder the terms: 6xy2 + 24y2 + 40xy + 160y + -64(4 + x) = 0 6xy2 + 24y2 + 40xy + 160y + (4 * -64 + x * -64) = 0 6xy2 + 24y2 + 40xy + 160y + (-256 + -64x) = 0 Reorder the terms: -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = 0 Solving -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '256' to each side of the equation. -256 + -64x + 40xy + 6xy2 + 160y + 256 + 24y2 = 0 + 256 Reorder the terms: -256 + 256 + -64x + 40xy + 6xy2 + 160y + 24y2 = 0 + 256 Combine like terms: -256 + 256 = 0 0 + -64x + 40xy + 6xy2 + 160y + 24y2 = 0 + 256 -64x + 40xy + 6xy2 + 160y + 24y2 = 0 + 256 Combine like terms: 0 + 256 = 256 -64x + 40xy + 6xy2 + 160y + 24y2 = 256 Add '-160y' to each side of the equation. -64x + 40xy + 6xy2 + 160y + -160y + 24y2 = 256 + -160y Combine like terms: 160y + -160y = 0 -64x + 40xy + 6xy2 + 0 + 24y2 = 256 + -160y -64x + 40xy + 6xy2 + 24y2 = 256 + -160y Add '-24y2' to each side of the equation. -64x + 40xy + 6xy2 + 24y2 + -24y2 = 256 + -160y + -24y2 Combine like terms: 24y2 + -24y2 = 0 -64x + 40xy + 6xy2 + 0 = 256 + -160y + -24y2 -64x + 40xy + 6xy2 = 256 + -160y + -24y2 Reorder the terms: -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = 256 + -160y + -24y2 + -256 + 160y + 24y2 Reorder the terms: -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = 256 + -256 + -160y + 160y + -24y2 + 24y2 Combine like terms: 256 + -256 = 0 -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = 0 + -160y + 160y + -24y2 + 24y2 -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = -160y + 160y + -24y2 + 24y2 Combine like terms: -160y + 160y = 0 -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = 0 + -24y2 + 24y2 -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = -24y2 + 24y2 Combine like terms: -24y2 + 24y2 = 0 -256 + -64x + 40xy + 6xy2 + 160y + 24y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-128 + -32x + 20xy + 3xy2 + 80y + 12y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-128 + -32x + 20xy + 3xy2 + 80y + 12y2)' equal to zero and attempt to solve: Simplifying -128 + -32x + 20xy + 3xy2 + 80y + 12y2 = 0 Solving -128 + -32x + 20xy + 3xy2 + 80y + 12y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '128' to each side of the equation. -128 + -32x + 20xy + 3xy2 + 80y + 128 + 12y2 = 0 + 128 Reorder the terms: -128 + 128 + -32x + 20xy + 3xy2 + 80y + 12y2 = 0 + 128 Combine like terms: -128 + 128 = 0 0 + -32x + 20xy + 3xy2 + 80y + 12y2 = 0 + 128 -32x + 20xy + 3xy2 + 80y + 12y2 = 0 + 128 Combine like terms: 0 + 128 = 128 -32x + 20xy + 3xy2 + 80y + 12y2 = 128 Add '-80y' to each side of the equation. -32x + 20xy + 3xy2 + 80y + -80y + 12y2 = 128 + -80y Combine like terms: 80y + -80y = 0 -32x + 20xy + 3xy2 + 0 + 12y2 = 128 + -80y -32x + 20xy + 3xy2 + 12y2 = 128 + -80y Add '-12y2' to each side of the equation. -32x + 20xy + 3xy2 + 12y2 + -12y2 = 128 + -80y + -12y2 Combine like terms: 12y2 + -12y2 = 0 -32x + 20xy + 3xy2 + 0 = 128 + -80y + -12y2 -32x + 20xy + 3xy2 = 128 + -80y + -12y2 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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