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Simplifying (2x + 1)(14x + 3) = 3x + 59 Reorder the terms: (1 + 2x)(14x + 3) = 3x + 59 Reorder the terms: (1 + 2x)(3 + 14x) = 3x + 59 Multiply (1 + 2x) * (3 + 14x) (1(3 + 14x) + 2x * (3 + 14x)) = 3x + 59 ((3 * 1 + 14x * 1) + 2x * (3 + 14x)) = 3x + 59 ((3 + 14x) + 2x * (3 + 14x)) = 3x + 59 (3 + 14x + (3 * 2x + 14x * 2x)) = 3x + 59 (3 + 14x + (6x + 28x2)) = 3x + 59 Combine like terms: 14x + 6x = 20x (3 + 20x + 28x2) = 3x + 59 Reorder the terms: 3 + 20x + 28x2 = 59 + 3x Solving 3 + 20x + 28x2 = 59 + 3x Solving for variable 'x'. Reorder the terms: 3 + -59 + 20x + -3x + 28x2 = 59 + 3x + -59 + -3x Combine like terms: 3 + -59 = -56 -56 + 20x + -3x + 28x2 = 59 + 3x + -59 + -3x Combine like terms: 20x + -3x = 17x -56 + 17x + 28x2 = 59 + 3x + -59 + -3x Reorder the terms: -56 + 17x + 28x2 = 59 + -59 + 3x + -3x Combine like terms: 59 + -59 = 0 -56 + 17x + 28x2 = 0 + 3x + -3x -56 + 17x + 28x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -56 + 17x + 28x2 = 0 Factor a trinomial. (-7 + -4x)(8 + -7x) = 0Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 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 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 2
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 = 1.142857143Solution
x = {-1.75, 1.142857143}
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