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Simplifying 3x2 + 14x + 15 = 319 Reorder the terms: 15 + 14x + 3x2 = 319 Solving 15 + 14x + 3x2 = 319 Solving for variable 'x'. Reorder the terms: 15 + -319 + 14x + 3x2 = 319 + -319 Combine like terms: 15 + -319 = -304 -304 + 14x + 3x2 = 319 + -319 Combine like terms: 319 + -319 = 0 -304 + 14x + 3x2 = 0 Factor a trinomial. (-38 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(-38 + -3x)' equal to zero and attempt to solve: Simplifying -38 + -3x = 0 Solving -38 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -3x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -3x = 0 + 38 -3x = 0 + 38 Combine like terms: 0 + 38 = 38 -3x = 38 Divide each side by '-3'. x = -12.66666667 Simplifying x = -12.66666667Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-12.66666667, 8}
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