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Simplifying 4x(7x + 8) + (7x + 8) = 0 Reorder the terms: 4x(8 + 7x) + (7x + 8) = 0 (8 * 4x + 7x * 4x) + (7x + 8) = 0 (32x + 28x2) + (7x + 8) = 0 Reorder the terms: 32x + 28x2 + (8 + 7x) = 0 Remove parenthesis around (8 + 7x) 32x + 28x2 + 8 + 7x = 0 Reorder the terms: 8 + 32x + 7x + 28x2 = 0 Combine like terms: 32x + 7x = 39x 8 + 39x + 28x2 = 0 Solving 8 + 39x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 7x)(1 + 4x) = 0Subproblem 1
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 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 = {-1.142857143, -0.25}
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