=12x^2+44x+7

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Solution for =12x^2+44x+7 equation:


Simplifying
0 = 12x2 + 44x + 7

Reorder the terms:
0 = 7 + 44x + 12x2

Solving
0 = 7 + 44x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + -7 = -7
-7 + -44x + -12x2 = 7 + 44x + 12x2 + -7 + -44x + -12x2

Reorder the terms:
-7 + -44x + -12x2 = 7 + -7 + 44x + -44x + 12x2 + -12x2

Combine like terms: 7 + -7 = 0
-7 + -44x + -12x2 = 0 + 44x + -44x + 12x2 + -12x2
-7 + -44x + -12x2 = 44x + -44x + 12x2 + -12x2

Combine like terms: 44x + -44x = 0
-7 + -44x + -12x2 = 0 + 12x2 + -12x2
-7 + -44x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-7 + -44x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 44x + 12x2) = 0

Factor a trinomial.
-1((7 + 2x)(1 + 6x)) = 0

Ignore the factor -1.

Subproblem 1

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 = -3.5

Subproblem 2

Set the factor '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 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 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667

Solution

x = {-3.5, -0.1666666667}

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