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Simplifying (3x2) + 2x(17 + -3x) = 75 (3x2) + (17 * 2x + -3x * 2x) = 75 (3x2) + (34x + -6x2) = 75 Reorder the terms: 34x + (3x2) + -6x2 = 75 Combine like terms: (3x2) + -6x2 = -3x2 34x + -3x2 = 75 Solving 34x + -3x2 = 75 Solving for variable 'x'. Reorder the terms: -75 + 34x + -3x2 = 75 + -75 Combine like terms: 75 + -75 = 0 -75 + 34x + -3x2 = 0 Factor a trinomial. (-25 + 3x)(3 + -1x) = 0Subproblem 1
Set the factor '(-25 + 3x)' equal to zero and attempt to solve: Simplifying -25 + 3x = 0 Solving -25 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 3x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = 0 + 25 3x = 0 + 25 Combine like terms: 0 + 25 = 25 3x = 25 Divide each side by '3'. x = 8.333333333 Simplifying x = 8.333333333Subproblem 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 = {8.333333333, 3}
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