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Simplifying 2x2 + 75x + -243 = 0 Reorder the terms: -243 + 75x + 2x2 = 0 Solving -243 + 75x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-81 + -2x)(3 + -1x) = 0Subproblem 1
Set the factor '(-81 + -2x)' equal to zero and attempt to solve: Simplifying -81 + -2x = 0 Solving -81 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -2x = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -2x = 0 + 81 -2x = 0 + 81 Combine like terms: 0 + 81 = 81 -2x = 81 Divide each side by '-2'. x = -40.5 Simplifying x = -40.5Subproblem 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 = {-40.5, 3}
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