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Simplifying 3x2 + 4x + -74 = 10 Reorder the terms: -74 + 4x + 3x2 = 10 Solving -74 + 4x + 3x2 = 10 Solving for variable 'x'. Reorder the terms: -74 + -10 + 4x + 3x2 = 10 + -10 Combine like terms: -74 + -10 = -84 -84 + 4x + 3x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -84 + 4x + 3x2 = 0 Factor a trinomial. (-6 + -1x)(14 + -3x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(14 + -3x)' equal to zero and attempt to solve: Simplifying 14 + -3x = 0 Solving 14 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 0 + -14 -3x = 0 + -14 Combine like terms: 0 + -14 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667Solution
x = {-6, 4.666666667}
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