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Simplifying (5X + -7)(4x + -2) = 0 Reorder the terms: (-7 + 5X)(4x + -2) = 0 Reorder the terms: (-7 + 5X)(-2 + 4x) = 0 Multiply (-7 + 5X) * (-2 + 4x) (-7(-2 + 4x) + 5X * (-2 + 4x)) = 0 ((-2 * -7 + 4x * -7) + 5X * (-2 + 4x)) = 0 ((14 + -28x) + 5X * (-2 + 4x)) = 0 (14 + -28x + (-2 * 5X + 4x * 5X)) = 0 (14 + -28x + (-10X + 20xX)) = 0 Reorder the terms: (14 + -10X + -28x + 20xX) = 0 (14 + -10X + -28x + 20xX) = 0 Solving 14 + -10X + -28x + 20xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -10X + -28x + -14 + 20xX = 0 + -14 Reorder the terms: 14 + -14 + -10X + -28x + 20xX = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -10X + -28x + 20xX = 0 + -14 -10X + -28x + 20xX = 0 + -14 Combine like terms: 0 + -14 = -14 -10X + -28x + 20xX = -14 Add '28x' to each side of the equation. -10X + -28x + 28x + 20xX = -14 + 28x Combine like terms: -28x + 28x = 0 -10X + 0 + 20xX = -14 + 28x -10X + 20xX = -14 + 28x Reorder the terms: 14 + -10X + -28x + 20xX = -14 + 28x + 14 + -28x Reorder the terms: 14 + -10X + -28x + 20xX = -14 + 14 + 28x + -28x Combine like terms: -14 + 14 = 0 14 + -10X + -28x + 20xX = 0 + 28x + -28x 14 + -10X + -28x + 20xX = 28x + -28x Combine like terms: 28x + -28x = 0 14 + -10X + -28x + 20xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -5X + -14x + 10xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -5X + -14x + 10xX)' equal to zero and attempt to solve: Simplifying 7 + -5X + -14x + 10xX = 0 Solving 7 + -5X + -14x + 10xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -5X + -14x + -7 + 10xX = 0 + -7 Reorder the terms: 7 + -7 + -5X + -14x + 10xX = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5X + -14x + 10xX = 0 + -7 -5X + -14x + 10xX = 0 + -7 Combine like terms: 0 + -7 = -7 -5X + -14x + 10xX = -7 Add '14x' to each side of the equation. -5X + -14x + 14x + 10xX = -7 + 14x Combine like terms: -14x + 14x = 0 -5X + 0 + 10xX = -7 + 14x -5X + 10xX = -7 + 14x 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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