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Simplifying (40x + -5x2) + -1(5x + 30) = 0 Remove parenthesis around (40x + -5x2) 40x + -5x2 + -1(5x + 30) = 0 Reorder the terms: 40x + -5x2 + -1(30 + 5x) = 0 40x + -5x2 + (30 * -1 + 5x * -1) = 0 40x + -5x2 + (-30 + -5x) = 0 Reorder the terms: -30 + 40x + -5x + -5x2 = 0 Combine like terms: 40x + -5x = 35x -30 + 35x + -5x2 = 0 Solving -30 + 35x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + 7x + -1x2) = 0 Factor a trinomial. 5((-6 + x)(1 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {6, 1}
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