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Simplifying -4(X + 5) * 7(7x + -3) = 0 Reorder the terms: -4(5 + X) * 7(7x + -3) = 0 Reorder the terms: -4(5 + X) * 7(-3 + 7x) = 0 Reorder the terms for easier multiplication: -4 * 7(5 + X)(-3 + 7x) = 0 Multiply -4 * 7 -28(5 + X)(-3 + 7x) = 0 Multiply (5 + X) * (-3 + 7x) -28(5(-3 + 7x) + X(-3 + 7x)) = 0 -28((-3 * 5 + 7x * 5) + X(-3 + 7x)) = 0 -28((-15 + 35x) + X(-3 + 7x)) = 0 -28(-15 + 35x + (-3 * X + 7x * X)) = 0 -28(-15 + 35x + (-3X + 7xX)) = 0 Reorder the terms: -28(-15 + -3X + 35x + 7xX) = 0 -28(-15 + -3X + 35x + 7xX) = 0 (-15 * -28 + -3X * -28 + 35x * -28 + 7xX * -28) = 0 (420 + 84X + -980x + -196xX) = 0 Solving 420 + 84X + -980x + -196xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + 84X + -980x + -420 + -196xX = 0 + -420 Reorder the terms: 420 + -420 + 84X + -980x + -196xX = 0 + -420 Combine like terms: 420 + -420 = 0 0 + 84X + -980x + -196xX = 0 + -420 84X + -980x + -196xX = 0 + -420 Combine like terms: 0 + -420 = -420 84X + -980x + -196xX = -420 Add '980x' to each side of the equation. 84X + -980x + 980x + -196xX = -420 + 980x Combine like terms: -980x + 980x = 0 84X + 0 + -196xX = -420 + 980x 84X + -196xX = -420 + 980x Reorder the terms: 420 + 84X + -980x + -196xX = -420 + 980x + 420 + -980x Reorder the terms: 420 + 84X + -980x + -196xX = -420 + 420 + 980x + -980x Combine like terms: -420 + 420 = 0 420 + 84X + -980x + -196xX = 0 + 980x + -980x 420 + 84X + -980x + -196xX = 980x + -980x Combine like terms: 980x + -980x = 0 420 + 84X + -980x + -196xX = 0 Factor out the Greatest Common Factor (GCF), '28'. 28(15 + 3X + -35x + -7xX) = 0 Ignore the factor 28.Subproblem 1
Set the factor '(15 + 3X + -35x + -7xX)' equal to zero and attempt to solve: Simplifying 15 + 3X + -35x + -7xX = 0 Solving 15 + 3X + -35x + -7xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3X + -35x + -15 + -7xX = 0 + -15 Reorder the terms: 15 + -15 + 3X + -35x + -7xX = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3X + -35x + -7xX = 0 + -15 3X + -35x + -7xX = 0 + -15 Combine like terms: 0 + -15 = -15 3X + -35x + -7xX = -15 Add '35x' to each side of the equation. 3X + -35x + 35x + -7xX = -15 + 35x Combine like terms: -35x + 35x = 0 3X + 0 + -7xX = -15 + 35x 3X + -7xX = -15 + 35x 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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