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Simplifying (x + -2)(x + -30) = 0 Reorder the terms: (-2 + x)(x + -30) = 0 Reorder the terms: (-2 + x)(-30 + x) = 0 Multiply (-2 + x) * (-30 + x) (-2(-30 + x) + x(-30 + x)) = 0 ((-30 * -2 + x * -2) + x(-30 + x)) = 0 ((60 + -2x) + x(-30 + x)) = 0 (60 + -2x + (-30 * x + x * x)) = 0 (60 + -2x + (-30x + x2)) = 0 Combine like terms: -2x + -30x = -32x (60 + -32x + x2) = 0 Solving 60 + -32x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(30 + -1x) = 0Subproblem 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 '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {2, 30}
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