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Simplifying (2x + -1)(28x + -23) = -5(x + -1) Reorder the terms: (-1 + 2x)(28x + -23) = -5(x + -1) Reorder the terms: (-1 + 2x)(-23 + 28x) = -5(x + -1) Multiply (-1 + 2x) * (-23 + 28x) (-1(-23 + 28x) + 2x * (-23 + 28x)) = -5(x + -1) ((-23 * -1 + 28x * -1) + 2x * (-23 + 28x)) = -5(x + -1) ((23 + -28x) + 2x * (-23 + 28x)) = -5(x + -1) (23 + -28x + (-23 * 2x + 28x * 2x)) = -5(x + -1) (23 + -28x + (-46x + 56x2)) = -5(x + -1) Combine like terms: -28x + -46x = -74x (23 + -74x + 56x2) = -5(x + -1) Reorder the terms: 23 + -74x + 56x2 = -5(-1 + x) 23 + -74x + 56x2 = (-1 * -5 + x * -5) 23 + -74x + 56x2 = (5 + -5x) Solving 23 + -74x + 56x2 = 5 + -5x Solving for variable 'x'. Reorder the terms: 23 + -5 + -74x + 5x + 56x2 = 5 + -5x + -5 + 5x Combine like terms: 23 + -5 = 18 18 + -74x + 5x + 56x2 = 5 + -5x + -5 + 5x Combine like terms: -74x + 5x = -69x 18 + -69x + 56x2 = 5 + -5x + -5 + 5x Reorder the terms: 18 + -69x + 56x2 = 5 + -5 + -5x + 5x Combine like terms: 5 + -5 = 0 18 + -69x + 56x2 = 0 + -5x + 5x 18 + -69x + 56x2 = -5x + 5x Combine like terms: -5x + 5x = 0 18 + -69x + 56x2 = 0 Factor a trinomial. (3 + -8x)(6 + -7x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {0.375, 0.8571428571}
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