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Simplifying 21x2 + 124x + 175 = 0 Reorder the terms: 175 + 124x + 21x2 = 0 Solving 175 + 124x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + 7x)(7 + 3x) = 0Subproblem 1
Set the factor '(25 + 7x)' equal to zero and attempt to solve: Simplifying 25 + 7x = 0 Solving 25 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 7x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = 0 + -25 7x = 0 + -25 Combine like terms: 0 + -25 = -25 7x = -25 Divide each side by '7'. x = -3.571428571 Simplifying x = -3.571428571Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {-3.571428571, -2.333333333}
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