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Simplifying (2x + -7)(x + 4) = 2x2 + 8xy + -7x + -28y Reorder the terms: (-7 + 2x)(x + 4) = 2x2 + 8xy + -7x + -28y Reorder the terms: (-7 + 2x)(4 + x) = 2x2 + 8xy + -7x + -28y Multiply (-7 + 2x) * (4 + x) (-7(4 + x) + 2x * (4 + x)) = 2x2 + 8xy + -7x + -28y ((4 * -7 + x * -7) + 2x * (4 + x)) = 2x2 + 8xy + -7x + -28y ((-28 + -7x) + 2x * (4 + x)) = 2x2 + 8xy + -7x + -28y (-28 + -7x + (4 * 2x + x * 2x)) = 2x2 + 8xy + -7x + -28y (-28 + -7x + (8x + 2x2)) = 2x2 + 8xy + -7x + -28y Combine like terms: -7x + 8x = 1x (-28 + 1x + 2x2) = 2x2 + 8xy + -7x + -28y Reorder the terms: -28 + 1x + 2x2 = -7x + 8xy + 2x2 + -28y Add '-2x2' to each side of the equation. -28 + 1x + 2x2 + -2x2 = -7x + 8xy + 2x2 + -2x2 + -28y Combine like terms: 2x2 + -2x2 = 0 -28 + 1x + 0 = -7x + 8xy + 2x2 + -2x2 + -28y -28 + 1x = -7x + 8xy + 2x2 + -2x2 + -28y Combine like terms: 2x2 + -2x2 = 0 -28 + 1x = -7x + 8xy + 0 + -28y -28 + 1x = -7x + 8xy + -28y Solving -28 + 1x = -7x + 8xy + -28y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -28 + 1x + 7x = -7x + 8xy + 7x + -28y Combine like terms: 1x + 7x = 8x -28 + 8x = -7x + 8xy + 7x + -28y Reorder the terms: -28 + 8x = -7x + 7x + 8xy + -28y Combine like terms: -7x + 7x = 0 -28 + 8x = 0 + 8xy + -28y -28 + 8x = 8xy + -28y Add '-8xy' to each side of the equation. -28 + 8x + -8xy = 8xy + -8xy + -28y Combine like terms: 8xy + -8xy = 0 -28 + 8x + -8xy = 0 + -28y -28 + 8x + -8xy = -28y Add '28' to each side of the equation. -28 + 8x + 28 + -8xy = 28 + -28y Reorder the terms: -28 + 28 + 8x + -8xy = 28 + -28y Combine like terms: -28 + 28 = 0 0 + 8x + -8xy = 28 + -28y 8x + -8xy = 28 + -28y Reorder the terms: -28 + 8x + -8xy + 28y = 28 + -28y + -28 + 28y Reorder the terms: -28 + 8x + -8xy + 28y = 28 + -28 + -28y + 28y Combine like terms: 28 + -28 = 0 -28 + 8x + -8xy + 28y = 0 + -28y + 28y -28 + 8x + -8xy + 28y = -28y + 28y Combine like terms: -28y + 28y = 0 -28 + 8x + -8xy + 28y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + 2x + -2xy + 7y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + 2x + -2xy + 7y)' equal to zero and attempt to solve: Simplifying -7 + 2x + -2xy + 7y = 0 Solving -7 + 2x + -2xy + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2x + -2xy + 7 + 7y = 0 + 7 Reorder the terms: -7 + 7 + 2x + -2xy + 7y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x + -2xy + 7y = 0 + 7 2x + -2xy + 7y = 0 + 7 Combine like terms: 0 + 7 = 7 2x + -2xy + 7y = 7 Add '-7y' to each side of the equation. 2x + -2xy + 7y + -7y = 7 + -7y Combine like terms: 7y + -7y = 0 2x + -2xy + 0 = 7 + -7y 2x + -2xy = 7 + -7y 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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