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Simplifying 3x2 + 14x + 15 = 7 Reorder the terms: 15 + 14x + 3x2 = 7 Solving 15 + 14x + 3x2 = 7 Solving for variable 'x'. Reorder the terms: 15 + -7 + 14x + 3x2 = 7 + -7 Combine like terms: 15 + -7 = 8 8 + 14x + 3x2 = 7 + -7 Combine like terms: 7 + -7 = 0 8 + 14x + 3x2 = 0 Factor a trinomial. (4 + x)(2 + 3x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-4, -0.6666666667}
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