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Simplifying 16x2 + 7 = -9x2 + -40x Reorder the terms: 7 + 16x2 = -9x2 + -40x Reorder the terms: 7 + 16x2 = -40x + -9x2 Solving 7 + 16x2 = -40x + -9x2 Solving for variable 'x'. Reorder the terms: 7 + 40x + 16x2 + 9x2 = -40x + -9x2 + 40x + 9x2 Combine like terms: 16x2 + 9x2 = 25x2 7 + 40x + 25x2 = -40x + -9x2 + 40x + 9x2 Reorder the terms: 7 + 40x + 25x2 = -40x + 40x + -9x2 + 9x2 Combine like terms: -40x + 40x = 0 7 + 40x + 25x2 = 0 + -9x2 + 9x2 7 + 40x + 25x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 7 + 40x + 25x2 = 0 Factor a trinomial. (7 + 5x)(1 + 5x) = 0Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 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 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {-1.4, -0.2}
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