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Simplifying (-7x + 2)(-4x + -5) = 0 Reorder the terms: (2 + -7x)(-4x + -5) = 0 Reorder the terms: (2 + -7x)(-5 + -4x) = 0 Multiply (2 + -7x) * (-5 + -4x) (2(-5 + -4x) + -7x * (-5 + -4x)) = 0 ((-5 * 2 + -4x * 2) + -7x * (-5 + -4x)) = 0 ((-10 + -8x) + -7x * (-5 + -4x)) = 0 (-10 + -8x + (-5 * -7x + -4x * -7x)) = 0 (-10 + -8x + (35x + 28x2)) = 0 Combine like terms: -8x + 35x = 27x (-10 + 27x + 28x2) = 0 Solving -10 + 27x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(2 + -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 '(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 = 0.2857142857Solution
x = {-1.25, 0.2857142857}
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