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Simplifying (7x + 19)(2x + -5) = 0 Reorder the terms: (19 + 7x)(2x + -5) = 0 Reorder the terms: (19 + 7x)(-5 + 2x) = 0 Multiply (19 + 7x) * (-5 + 2x) (19(-5 + 2x) + 7x * (-5 + 2x)) = 0 ((-5 * 19 + 2x * 19) + 7x * (-5 + 2x)) = 0 ((-95 + 38x) + 7x * (-5 + 2x)) = 0 (-95 + 38x + (-5 * 7x + 2x * 7x)) = 0 (-95 + 38x + (-35x + 14x2)) = 0 Combine like terms: 38x + -35x = 3x (-95 + 3x + 14x2) = 0 Solving -95 + 3x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -7x)(5 + -2x) = 0Subproblem 1
Set the factor '(-19 + -7x)' equal to zero and attempt to solve: Simplifying -19 + -7x = 0 Solving -19 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -7x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -7x = 0 + 19 -7x = 0 + 19 Combine like terms: 0 + 19 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-2.714285714, 2.5}
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