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Simplifying (3 + -1x)(7x + -28) = 0 Reorder the terms: (3 + -1x)(-28 + 7x) = 0 Multiply (3 + -1x) * (-28 + 7x) (3(-28 + 7x) + -1x * (-28 + 7x)) = 0 ((-28 * 3 + 7x * 3) + -1x * (-28 + 7x)) = 0 ((-84 + 21x) + -1x * (-28 + 7x)) = 0 (-84 + 21x + (-28 * -1x + 7x * -1x)) = 0 (-84 + 21x + (28x + -7x2)) = 0 Combine like terms: 21x + 28x = 49x (-84 + 49x + -7x2) = 0 Solving -84 + 49x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(-12 + 7x + -1x2) = 0 Factor a trinomial. 7((-4 + x)(3 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {4, 3}
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