12=14x^2-13x

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Solution for 12=14x^2-13x equation:


Simplifying
12 = 14x2 + -13x

Reorder the terms:
12 = -13x + 14x2

Solving
12 = -13x + 14x2

Solving for variable 'x'.

Reorder the terms:
12 + 13x + -14x2 = -13x + 13x + 14x2 + -14x2

Combine like terms: -13x + 13x = 0
12 + 13x + -14x2 = 0 + 14x2 + -14x2
12 + 13x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
12 + 13x + -14x2 = 0

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

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Subproblem 2

Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714

Solution

x = {1.5, -0.5714285714}

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