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Simplifying 3x2 + 4x + 3 = 178 Reorder the terms: 3 + 4x + 3x2 = 178 Solving 3 + 4x + 3x2 = 178 Solving for variable 'x'. Reorder the terms: 3 + -178 + 4x + 3x2 = 178 + -178 Combine like terms: 3 + -178 = -175 -175 + 4x + 3x2 = 178 + -178 Combine like terms: 178 + -178 = 0 -175 + 4x + 3x2 = 0 Factor a trinomial. (-25 + -3x)(7 + -1x) = 0Subproblem 1
Set the factor '(-25 + -3x)' equal to zero and attempt to solve: Simplifying -25 + -3x = 0 Solving -25 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -3x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -3x = 0 + 25 -3x = 0 + 25 Combine like terms: 0 + 25 = 25 -3x = 25 Divide each side by '-3'. x = -8.333333333 Simplifying x = -8.333333333Subproblem 2
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 = 7Solution
x = {-8.333333333, 7}
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