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Simplifying 7x2 + 5x + -3192 = 0 Reorder the terms: -3192 + 5x + 7x2 = 0 Solving -3192 + 5x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-152 + -7x)(21 + -1x) = 0Subproblem 1
Set the factor '(-152 + -7x)' equal to zero and attempt to solve: Simplifying -152 + -7x = 0 Solving -152 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '152' to each side of the equation. -152 + 152 + -7x = 0 + 152 Combine like terms: -152 + 152 = 0 0 + -7x = 0 + 152 -7x = 0 + 152 Combine like terms: 0 + 152 = 152 -7x = 152 Divide each side by '-7'. x = -21.71428571 Simplifying x = -21.71428571Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {-21.71428571, 21}
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