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Simplifying 0 = 4x2 + 9x + -259 Reorder the terms: 0 = -259 + 9x + 4x2 Solving 0 = -259 + 9x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 259 = 259 259 + -9x + -4x2 = -259 + 9x + 4x2 + 259 + -9x + -4x2 Reorder the terms: 259 + -9x + -4x2 = -259 + 259 + 9x + -9x + 4x2 + -4x2 Combine like terms: -259 + 259 = 0 259 + -9x + -4x2 = 0 + 9x + -9x + 4x2 + -4x2 259 + -9x + -4x2 = 9x + -9x + 4x2 + -4x2 Combine like terms: 9x + -9x = 0 259 + -9x + -4x2 = 0 + 4x2 + -4x2 259 + -9x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 259 + -9x + -4x2 = 0 Factor a trinomial. (7 + -1x)(37 + 4x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(37 + 4x)' equal to zero and attempt to solve: Simplifying 37 + 4x = 0 Solving 37 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 4x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 4x = 0 + -37 4x = 0 + -37 Combine like terms: 0 + -37 = -37 4x = -37 Divide each side by '4'. x = -9.25 Simplifying x = -9.25Solution
x = {7, -9.25}
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