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Simplifying 4(x + -1y)(x + y) = 4x + 4x Multiply (x + -1y) * (x + y) 4(x(x + y) + -1y * (x + y)) = 4x + 4x 4((x * x + y * x) + -1y * (x + y)) = 4x + 4x Reorder the terms: 4((xy + x2) + -1y * (x + y)) = 4x + 4x 4((xy + x2) + -1y * (x + y)) = 4x + 4x 4(xy + x2 + (x * -1y + y * -1y)) = 4x + 4x 4(xy + x2 + (-1xy + -1y2)) = 4x + 4x Reorder the terms: 4(xy + -1xy + x2 + -1y2) = 4x + 4x Combine like terms: xy + -1xy = 0 4(0 + x2 + -1y2) = 4x + 4x 4(x2 + -1y2) = 4x + 4x (x2 * 4 + -1y2 * 4) = 4x + 4x (4x2 + -4y2) = 4x + 4x Combine like terms: 4x + 4x = 8x 4x2 + -4y2 = 8x Solving 4x2 + -4y2 = 8x Solving for variable 'x'. Reorder the terms: -8x + 4x2 + -4y2 = 8x + -8x Combine like terms: 8x + -8x = 0 -8x + 4x2 + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2x + x2 + -1y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2x + x2 + -1y2)' equal to zero and attempt to solve: Simplifying -2x + x2 + -1y2 = 0 Solving -2x + x2 + -1y2 = 0 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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