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Simplifying 1400 + -58x + -3x2 = 0 Solving 1400 + -58x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (14 + -1x)(100 + 3x) = 0Subproblem 1
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 = 14Subproblem 2
Set the factor '(100 + 3x)' equal to zero and attempt to solve: Simplifying 100 + 3x = 0 Solving 100 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 3x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 3x = 0 + -100 3x = 0 + -100 Combine like terms: 0 + -100 = -100 3x = -100 Divide each side by '3'. x = -33.33333333 Simplifying x = -33.33333333Solution
x = {14, -33.33333333}
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