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Simplifying 21x2 + -110x + 125 = 0 Reorder the terms: 125 + -110x + 21x2 = 0 Solving 125 + -110x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -3x)(25 + -7x) = 0Subproblem 1
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 = 1.666666667Subproblem 2
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 = 3.571428571Solution
x = {1.666666667, 3.571428571}
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