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Simplifying 7x2 + 13x = 4700 Reorder the terms: 13x + 7x2 = 4700 Solving 13x + 7x2 = 4700 Solving for variable 'x'. Reorder the terms: -4700 + 13x + 7x2 = 4700 + -4700 Combine like terms: 4700 + -4700 = 0 -4700 + 13x + 7x2 = 0 Factor a trinomial. (-188 + -7x)(25 + -1x) = 0Subproblem 1
Set the factor '(-188 + -7x)' equal to zero and attempt to solve: Simplifying -188 + -7x = 0 Solving -188 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '188' to each side of the equation. -188 + 188 + -7x = 0 + 188 Combine like terms: -188 + 188 = 0 0 + -7x = 0 + 188 -7x = 0 + 188 Combine like terms: 0 + 188 = 188 -7x = 188 Divide each side by '-7'. x = -26.85714286 Simplifying x = -26.85714286Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 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 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-26.85714286, 25}
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