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Simplifying 6090 = (8x + -37) * x Reorder the terms: 6090 = (-37 + 8x) * x Reorder the terms for easier multiplication: 6090 = x(-37 + 8x) 6090 = (-37 * x + 8x * x) 6090 = (-37x + 8x2) Solving 6090 = -37x + 8x2 Solving for variable 'x'. Reorder the terms: 6090 + 37x + -8x2 = -37x + 37x + 8x2 + -8x2 Combine like terms: -37x + 37x = 0 6090 + 37x + -8x2 = 0 + 8x2 + -8x2 6090 + 37x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 6090 + 37x + -8x2 = 0 Factor a trinomial. (30 + -1x)(203 + 8x) = 0Subproblem 1
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 = 30Subproblem 2
Set the factor '(203 + 8x)' equal to zero and attempt to solve: Simplifying 203 + 8x = 0 Solving 203 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-203' to each side of the equation. 203 + -203 + 8x = 0 + -203 Combine like terms: 203 + -203 = 0 0 + 8x = 0 + -203 8x = 0 + -203 Combine like terms: 0 + -203 = -203 8x = -203 Divide each side by '8'. x = -25.375 Simplifying x = -25.375Solution
x = {30, -25.375}
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