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Simplifying 5x2 + -3x + -103 = 7 Reorder the terms: -103 + -3x + 5x2 = 7 Solving -103 + -3x + 5x2 = 7 Solving for variable 'x'. Reorder the terms: -103 + -7 + -3x + 5x2 = 7 + -7 Combine like terms: -103 + -7 = -110 -110 + -3x + 5x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -110 + -3x + 5x2 = 0 Factor a trinomial. (-22 + -5x)(5 + -1x) = 0Subproblem 1
Set the factor '(-22 + -5x)' equal to zero and attempt to solve: Simplifying -22 + -5x = 0 Solving -22 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -5x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -5x = 0 + 22 -5x = 0 + 22 Combine like terms: 0 + 22 = 22 -5x = 22 Divide each side by '-5'. x = -4.4 Simplifying x = -4.4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4.4, 5}
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