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Simplifying 7x2 + 16x + 15 = 2x2 + 3 Reorder the terms: 15 + 16x + 7x2 = 2x2 + 3 Reorder the terms: 15 + 16x + 7x2 = 3 + 2x2 Solving 15 + 16x + 7x2 = 3 + 2x2 Solving for variable 'x'. Reorder the terms: 15 + -3 + 16x + 7x2 + -2x2 = 3 + 2x2 + -3 + -2x2 Combine like terms: 15 + -3 = 12 12 + 16x + 7x2 + -2x2 = 3 + 2x2 + -3 + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 12 + 16x + 5x2 = 3 + 2x2 + -3 + -2x2 Reorder the terms: 12 + 16x + 5x2 = 3 + -3 + 2x2 + -2x2 Combine like terms: 3 + -3 = 0 12 + 16x + 5x2 = 0 + 2x2 + -2x2 12 + 16x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 12 + 16x + 5x2 = 0 Factor a trinomial. (2 + x)(6 + 5x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-2, -1.2}
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