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Simplifying (7x + 4)(3x + -5) = 0 Reorder the terms: (4 + 7x)(3x + -5) = 0 Reorder the terms: (4 + 7x)(-5 + 3x) = 0 Multiply (4 + 7x) * (-5 + 3x) (4(-5 + 3x) + 7x * (-5 + 3x)) = 0 ((-5 * 4 + 3x * 4) + 7x * (-5 + 3x)) = 0 ((-20 + 12x) + 7x * (-5 + 3x)) = 0 (-20 + 12x + (-5 * 7x + 3x * 7x)) = 0 (-20 + 12x + (-35x + 21x2)) = 0 Combine like terms: 12x + -35x = -23x (-20 + -23x + 21x2) = 0 Solving -20 + -23x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(5 + -3x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-0.5714285714, 1.666666667}
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