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Simplifying 4(x2 + 7x) + 29 = -20 Reorder the terms: 4(7x + x2) + 29 = -20 (7x * 4 + x2 * 4) + 29 = -20 (28x + 4x2) + 29 = -20 Reorder the terms: 29 + 28x + 4x2 = -20 Solving 29 + 28x + 4x2 = -20 Solving for variable 'x'. Reorder the terms: 29 + 20 + 28x + 4x2 = -20 + 20 Combine like terms: 29 + 20 = 49 49 + 28x + 4x2 = -20 + 20 Combine like terms: -20 + 20 = 0 49 + 28x + 4x2 = 0 Factor a trinomial. (7 + 2x)(7 + 2x) = 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 '(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 = -3.5Solution
x = {-3.5, -3.5}
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