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Simplifying 12x2 + 25x + -4 = 3 Reorder the terms: -4 + 25x + 12x2 = 3 Solving -4 + 25x + 12x2 = 3 Solving for variable 'x'. Reorder the terms: -4 + -3 + 25x + 12x2 = 3 + -3 Combine like terms: -4 + -3 = -7 -7 + 25x + 12x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -7 + 25x + 12x2 = 0 Factor a trinomial. (-7 + -3x)(1 + -4x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-2.333333333, 0.25}
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