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Simplifying (4x + 5)(-7x) = -28x + -35x Reorder the terms: (5 + 4x)(-7x) = -28x + -35x Remove parenthesis around (-7x) (5 + 4x) * -7x = -28x + -35x Reorder the terms for easier multiplication: -7x(5 + 4x) = -28x + -35x (5 * -7x + 4x * -7x) = -28x + -35x (-35x + -28x2) = -28x + -35x Combine like terms: -28x + -35x = -63x -35x + -28x2 = -63x Solving -35x + -28x2 = -63x Solving for variable 'x'. Reorder the terms: -35x + 63x + -28x2 = -63x + 63x Combine like terms: -35x + 63x = 28x 28x + -28x2 = -63x + 63x Combine like terms: -63x + 63x = 0 28x + -28x2 = 0 Factor out the Greatest Common Factor (GCF), '28x'. 28x(1 + -1x) = 0 Ignore the factor 28.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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