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Simplifying (2 + 7x)(9x + -4) = (2 + 7x) Reorder the terms: (2 + 7x)(-4 + 9x) = (2 + 7x) Multiply (2 + 7x) * (-4 + 9x) (2(-4 + 9x) + 7x * (-4 + 9x)) = (2 + 7x) ((-4 * 2 + 9x * 2) + 7x * (-4 + 9x)) = (2 + 7x) ((-8 + 18x) + 7x * (-4 + 9x)) = (2 + 7x) (-8 + 18x + (-4 * 7x + 9x * 7x)) = (2 + 7x) (-8 + 18x + (-28x + 63x2)) = (2 + 7x) Combine like terms: 18x + -28x = -10x (-8 + -10x + 63x2) = (2 + 7x) Remove parenthesis around (2 + 7x) -8 + -10x + 63x2 = 2 + 7x Solving -8 + -10x + 63x2 = 2 + 7x Solving for variable 'x'. Reorder the terms: -8 + -2 + -10x + -7x + 63x2 = 2 + 7x + -2 + -7x Combine like terms: -8 + -2 = -10 -10 + -10x + -7x + 63x2 = 2 + 7x + -2 + -7x Combine like terms: -10x + -7x = -17x -10 + -17x + 63x2 = 2 + 7x + -2 + -7x Reorder the terms: -10 + -17x + 63x2 = 2 + -2 + 7x + -7x Combine like terms: 2 + -2 = 0 -10 + -17x + 63x2 = 0 + 7x + -7x -10 + -17x + 63x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -17x + 63x2 = 0 Factor a trinomial. (-2 + -7x)(5 + -9x) = 0Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 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 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {-0.2857142857, 0.5555555556}
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