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