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Simplifying (7 + -1x)(8 + -4x) = 0 Multiply (7 + -1x) * (8 + -4x) (7(8 + -4x) + -1x * (8 + -4x)) = 0 ((8 * 7 + -4x * 7) + -1x * (8 + -4x)) = 0 ((56 + -28x) + -1x * (8 + -4x)) = 0 (56 + -28x + (8 * -1x + -4x * -1x)) = 0 (56 + -28x + (-8x + 4x2)) = 0 Combine like terms: -28x + -8x = -36x (56 + -36x + 4x2) = 0 Solving 56 + -36x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(14 + -9x + x2) = 0 Factor a trinomial. 4((2 + -1x)(7 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {2, 7}
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