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Simplifying x = 3x2 + 8x + -150 Reorder the terms: x = -150 + 8x + 3x2 Solving x = -150 + 8x + 3x2 Solving for variable 'x'. Reorder the terms: 150 + x + -8x + -3x2 = -150 + 8x + 3x2 + 150 + -8x + -3x2 Combine like terms: x + -8x = -7x 150 + -7x + -3x2 = -150 + 8x + 3x2 + 150 + -8x + -3x2 Reorder the terms: 150 + -7x + -3x2 = -150 + 150 + 8x + -8x + 3x2 + -3x2 Combine like terms: -150 + 150 = 0 150 + -7x + -3x2 = 0 + 8x + -8x + 3x2 + -3x2 150 + -7x + -3x2 = 8x + -8x + 3x2 + -3x2 Combine like terms: 8x + -8x = 0 150 + -7x + -3x2 = 0 + 3x2 + -3x2 150 + -7x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 150 + -7x + -3x2 = 0 Factor a trinomial. (6 + -1x)(25 + 3x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
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 = -8.333333333Solution
x = {6, -8.333333333}
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