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Simplifying 14x2 + 5x + -9 = 0 Reorder the terms: -9 + 5x + 14x2 = 0 Solving -9 + 5x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(9 + -14x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(9 + -14x)' equal to zero and attempt to solve: Simplifying 9 + -14x = 0 Solving 9 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14x = 0 + -9 -14x = 0 + -9 Combine like terms: 0 + -9 = -9 -14x = -9 Divide each side by '-14'. x = 0.6428571429 Simplifying x = 0.6428571429Solution
x = {-1, 0.6428571429}
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