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Simplifying 21x2 + 80x + -400 = 0 Reorder the terms: -400 + 80x + 21x2 = 0 Solving -400 + 80x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-20 + -3x)(20 + -7x) = 0Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
Set the factor '(20 + -7x)' equal to zero and attempt to solve: Simplifying 20 + -7x = 0 Solving 20 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 0 + -20 -7x = 0 + -20 Combine like terms: 0 + -20 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857Solution
x = {-6.666666667, 2.857142857}
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