12x^2-29x=-14

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Solution for 12x^2-29x=-14 equation:


Simplifying
12x2 + -29x = -14

Reorder the terms:
-29x + 12x2 = -14

Solving
-29x + 12x2 = -14

Solving for variable 'x'.

Reorder the terms:
14 + -29x + 12x2 = -14 + 14

Combine like terms: -14 + 14 = 0
14 + -29x + 12x2 = 0

Factor a trinomial.
(2 + -3x)(7 + -4x) = 0

Subproblem 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 = 0.6666666667

Subproblem 2

Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75

Solution

x = {0.6666666667, 1.75}

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