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Simplifying 75x2 + 40x + -3 = (5x + 3) Reorder the terms: -3 + 40x + 75x2 = (5x + 3) Reorder the terms: -3 + 40x + 75x2 = (3 + 5x) Remove parenthesis around (3 + 5x) -3 + 40x + 75x2 = 3 + 5x Solving -3 + 40x + 75x2 = 3 + 5x Solving for variable 'x'. Reorder the terms: -3 + -3 + 40x + -5x + 75x2 = 3 + 5x + -3 + -5x Combine like terms: -3 + -3 = -6 -6 + 40x + -5x + 75x2 = 3 + 5x + -3 + -5x Combine like terms: 40x + -5x = 35x -6 + 35x + 75x2 = 3 + 5x + -3 + -5x Reorder the terms: -6 + 35x + 75x2 = 3 + -3 + 5x + -5x Combine like terms: 3 + -3 = 0 -6 + 35x + 75x2 = 0 + 5x + -5x -6 + 35x + 75x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 35x + 75x2 = 0 Factor a trinomial. (-3 + -5x)(2 + -15x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(2 + -15x)' equal to zero and attempt to solve: Simplifying 2 + -15x = 0 Solving 2 + -15x = 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 + -15x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -15x = 0 + -2 -15x = 0 + -2 Combine like terms: 0 + -2 = -2 -15x = -2 Divide each side by '-15'. x = 0.1333333333 Simplifying x = 0.1333333333Solution
x = {-0.6, 0.1333333333}
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