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Simplifying 25x2 + -30x + 9 = 81 Reorder the terms: 9 + -30x + 25x2 = 81 Solving 9 + -30x + 25x2 = 81 Solving for variable 'x'. Reorder the terms: 9 + -81 + -30x + 25x2 = 81 + -81 Combine like terms: 9 + -81 = -72 -72 + -30x + 25x2 = 81 + -81 Combine like terms: 81 + -81 = 0 -72 + -30x + 25x2 = 0 Factor a trinomial. (-6 + -5x)(12 + -5x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 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 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 2
Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4Solution
x = {-1.2, 2.4}
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