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Simplifying (4x + 5)(7x + 1) = 0 Reorder the terms: (5 + 4x)(7x + 1) = 0 Reorder the terms: (5 + 4x)(1 + 7x) = 0 Multiply (5 + 4x) * (1 + 7x) (5(1 + 7x) + 4x * (1 + 7x)) = 0 ((1 * 5 + 7x * 5) + 4x * (1 + 7x)) = 0 ((5 + 35x) + 4x * (1 + 7x)) = 0 (5 + 35x + (1 * 4x + 7x * 4x)) = 0 (5 + 35x + (4x + 28x2)) = 0 Combine like terms: 35x + 4x = 39x (5 + 39x + 28x2) = 0 Solving 5 + 39x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 4x)(1 + 7x) = 0Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-1.25, -0.1428571429}
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