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Simplifying (9x2 + 3x + -7) + (-4x2 + -1x) = 0 Reorder the terms: (-7 + 3x + 9x2) + (-4x2 + -1x) = 0 Remove parenthesis around (-7 + 3x + 9x2) -7 + 3x + 9x2 + (-4x2 + -1x) = 0 Reorder the terms: -7 + 3x + 9x2 + (-1x + -4x2) = 0 Remove parenthesis around (-1x + -4x2) -7 + 3x + 9x2 + -1x + -4x2 = 0 Reorder the terms: -7 + 3x + -1x + 9x2 + -4x2 = 0 Combine like terms: 3x + -1x = 2x -7 + 2x + 9x2 + -4x2 = 0 Combine like terms: 9x2 + -4x2 = 5x2 -7 + 2x + 5x2 = 0 Solving -7 + 2x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x)(1 + -1x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 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 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-1.4, 1}
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