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Simplifying 6x2 + 25x + 23 = 9 Reorder the terms: 23 + 25x + 6x2 = 9 Solving 23 + 25x + 6x2 = 9 Solving for variable 'x'. Reorder the terms: 23 + -9 + 25x + 6x2 = 9 + -9 Combine like terms: 23 + -9 = 14 14 + 25x + 6x2 = 9 + -9 Combine like terms: 9 + -9 = 0 14 + 25x + 6x2 = 0 Factor a trinomial. (7 + 2x)(2 + 3x) = 0Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 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 = {-3.5, -0.6666666667}
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