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Simplifying 4x2 + 40x + 100 = 49 Reorder the terms: 100 + 40x + 4x2 = 49 Solving 100 + 40x + 4x2 = 49 Solving for variable 'x'. Reorder the terms: 100 + -49 + 40x + 4x2 = 49 + -49 Combine like terms: 100 + -49 = 51 51 + 40x + 4x2 = 49 + -49 Combine like terms: 49 + -49 = 0 51 + 40x + 4x2 = 0 Factor a trinomial. (17 + 2x)(3 + 2x) = 0Subproblem 1
Set the factor '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-8.5, -1.5}
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