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Simplifying (3x2 + -7x + -21) + (5x2 + 9x) = 0 Reorder the terms: (-21 + -7x + 3x2) + (5x2 + 9x) = 0 Remove parenthesis around (-21 + -7x + 3x2) -21 + -7x + 3x2 + (5x2 + 9x) = 0 Reorder the terms: -21 + -7x + 3x2 + (9x + 5x2) = 0 Remove parenthesis around (9x + 5x2) -21 + -7x + 3x2 + 9x + 5x2 = 0 Reorder the terms: -21 + -7x + 9x + 3x2 + 5x2 = 0 Combine like terms: -7x + 9x = 2x -21 + 2x + 3x2 + 5x2 = 0 Combine like terms: 3x2 + 5x2 = 8x2 -21 + 2x + 8x2 = 0 Solving -21 + 2x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -4x)(3 + -2x) = 0Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 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 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-1.75, 1.5}
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