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Simplifying 4x(9x + 7) + 9x + 7 = 0 Reorder the terms: 4x(7 + 9x) + 9x + 7 = 0 (7 * 4x + 9x * 4x) + 9x + 7 = 0 (28x + 36x2) + 9x + 7 = 0 Reorder the terms: 7 + 28x + 9x + 36x2 = 0 Combine like terms: 28x + 9x = 37x 7 + 37x + 36x2 = 0 Solving 7 + 37x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 9x)(1 + 4x) = 0Subproblem 1
Set the factor '(7 + 9x)' equal to zero and attempt to solve: Simplifying 7 + 9x = 0 Solving 7 + 9x = 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 + 9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 0 + -7 9x = 0 + -7 Combine like terms: 0 + -7 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {-0.7777777778, -0.25}
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