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Simplifying 6x2 + -25x + 19 = 5 Reorder the terms: 19 + -25x + 6x2 = 5 Solving 19 + -25x + 6x2 = 5 Solving for variable 'x'. Reorder the terms: 19 + -5 + -25x + 6x2 = 5 + -5 Combine like terms: 19 + -5 = 14 14 + -25x + 6x2 = 5 + -5 Combine like terms: 5 + -5 = 0 14 + -25x + 6x2 = 0 Factor a trinomial. (2 + -3x)(7 + -2x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {0.6666666667, 3.5}
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