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Simplifying 2x2 + 15x + -675 = 0 Reorder the terms: -675 + 15x + 2x2 = 0 Solving -675 + 15x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-45 + -2x)(15 + -1x) = 0Subproblem 1
Set the factor '(-45 + -2x)' equal to zero and attempt to solve: Simplifying -45 + -2x = 0 Solving -45 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -2x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = 0 + 45 -2x = 0 + 45 Combine like terms: 0 + 45 = 45 -2x = 45 Divide each side by '-2'. x = -22.5 Simplifying x = -22.5Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-22.5, 15}
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