12x^2+7x=-1

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Solution for 12x^2+7x=-1 equation:


Simplifying
12x2 + 7x = -1

Reorder the terms:
7x + 12x2 = -1

Solving
7x + 12x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + 7x + 12x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 7x + 12x2 = 0

Factor a trinomial.
(1 + 3x)(1 + 4x) = 0

Subproblem 1

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 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 = -0.25

Solution

x = {-0.3333333333, -0.25}

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