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Simplifying 9x2 + -61x + 100 = 0 Reorder the terms: 100 + -61x + 9x2 = 0 Solving 100 + -61x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + -9x)(4 + -1x) = 0Subproblem 1
Set the factor '(25 + -9x)' equal to zero and attempt to solve: Simplifying 25 + -9x = 0 Solving 25 + -9x = 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 + -9x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = 0 + -25 -9x = 0 + -25 Combine like terms: 0 + -25 = -25 -9x = -25 Divide each side by '-9'. x = 2.777777778 Simplifying x = 2.777777778Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {2.777777778, 4}
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