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Simplifying (3x + -8)(14x + -1) = 6x + -57 Reorder the terms: (-8 + 3x)(14x + -1) = 6x + -57 Reorder the terms: (-8 + 3x)(-1 + 14x) = 6x + -57 Multiply (-8 + 3x) * (-1 + 14x) (-8(-1 + 14x) + 3x * (-1 + 14x)) = 6x + -57 ((-1 * -8 + 14x * -8) + 3x * (-1 + 14x)) = 6x + -57 ((8 + -112x) + 3x * (-1 + 14x)) = 6x + -57 (8 + -112x + (-1 * 3x + 14x * 3x)) = 6x + -57 (8 + -112x + (-3x + 42x2)) = 6x + -57 Combine like terms: -112x + -3x = -115x (8 + -115x + 42x2) = 6x + -57 Reorder the terms: 8 + -115x + 42x2 = -57 + 6x Solving 8 + -115x + 42x2 = -57 + 6x Solving for variable 'x'. Reorder the terms: 8 + 57 + -115x + -6x + 42x2 = -57 + 6x + 57 + -6x Combine like terms: 8 + 57 = 65 65 + -115x + -6x + 42x2 = -57 + 6x + 57 + -6x Combine like terms: -115x + -6x = -121x 65 + -121x + 42x2 = -57 + 6x + 57 + -6x Reorder the terms: 65 + -121x + 42x2 = -57 + 57 + 6x + -6x Combine like terms: -57 + 57 = 0 65 + -121x + 42x2 = 0 + 6x + -6x 65 + -121x + 42x2 = 6x + -6x Combine like terms: 6x + -6x = 0 65 + -121x + 42x2 = 0 Factor a trinomial. (5 + -7x)(13 + -6x) = 0Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Subproblem 2
Set the factor '(13 + -6x)' equal to zero and attempt to solve: Simplifying 13 + -6x = 0 Solving 13 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 0 + -13 -6x = 0 + -13 Combine like terms: 0 + -13 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667Solution
x = {0.7142857143, 2.166666667}
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