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Simplifying 13300 = (7x + -300) * x Reorder the terms: 13300 = (-300 + 7x) * x Reorder the terms for easier multiplication: 13300 = x(-300 + 7x) 13300 = (-300 * x + 7x * x) 13300 = (-300x + 7x2) Solving 13300 = -300x + 7x2 Solving for variable 'x'. Reorder the terms: 13300 + 300x + -7x2 = -300x + 300x + 7x2 + -7x2 Combine like terms: -300x + 300x = 0 13300 + 300x + -7x2 = 0 + 7x2 + -7x2 13300 + 300x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 13300 + 300x + -7x2 = 0 Factor a trinomial. (70 + -1x)(190 + 7x) = 0Subproblem 1
Set the factor '(70 + -1x)' equal to zero and attempt to solve: Simplifying 70 + -1x = 0 Solving 70 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -1x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = 0 + -70 -1x = 0 + -70 Combine like terms: 0 + -70 = -70 -1x = -70 Divide each side by '-1'. x = 70 Simplifying x = 70Subproblem 2
Set the factor '(190 + 7x)' equal to zero and attempt to solve: Simplifying 190 + 7x = 0 Solving 190 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-190' to each side of the equation. 190 + -190 + 7x = 0 + -190 Combine like terms: 190 + -190 = 0 0 + 7x = 0 + -190 7x = 0 + -190 Combine like terms: 0 + -190 = -190 7x = -190 Divide each side by '7'. x = -27.14285714 Simplifying x = -27.14285714Solution
x = {70, -27.14285714}
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