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Simplifying 9x2 + -140x + 196 = 0 Reorder the terms: 196 + -140x + 9x2 = 0 Solving 196 + -140x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (14 + -9x)(14 + -1x) = 0Subproblem 1
Set the factor '(14 + -9x)' equal to zero and attempt to solve: Simplifying 14 + -9x = 0 Solving 14 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -9x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 0 + -14 -9x = 0 + -14 Combine like terms: 0 + -14 = -14 -9x = -14 Divide each side by '-9'. x = 1.555555556 Simplifying x = 1.555555556Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {1.555555556, 14}
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