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Simplifying (5x + -22)(2x + 35) = 0 Reorder the terms: (-22 + 5x)(2x + 35) = 0 Reorder the terms: (-22 + 5x)(35 + 2x) = 0 Multiply (-22 + 5x) * (35 + 2x) (-22(35 + 2x) + 5x * (35 + 2x)) = 0 ((35 * -22 + 2x * -22) + 5x * (35 + 2x)) = 0 ((-770 + -44x) + 5x * (35 + 2x)) = 0 (-770 + -44x + (35 * 5x + 2x * 5x)) = 0 (-770 + -44x + (175x + 10x2)) = 0 Combine like terms: -44x + 175x = 131x (-770 + 131x + 10x2) = 0 Solving -770 + 131x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-35 + -2x)(22 + -5x) = 0Subproblem 1
Set the factor '(-35 + -2x)' equal to zero and attempt to solve: Simplifying -35 + -2x = 0 Solving -35 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -2x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = 0 + 35 -2x = 0 + 35 Combine like terms: 0 + 35 = 35 -2x = 35 Divide each side by '-2'. x = -17.5 Simplifying x = -17.5Subproblem 2
Set the factor '(22 + -5x)' equal to zero and attempt to solve: Simplifying 22 + -5x = 0 Solving 22 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 0 + -22 -5x = 0 + -22 Combine like terms: 0 + -22 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4Solution
x = {-17.5, 4.4}
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