12x^2+35x=52

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Solution for 12x^2+35x=52 equation:


Simplifying
12x2 + 35x = 52

Reorder the terms:
35x + 12x2 = 52

Solving
35x + 12x2 = 52

Solving for variable 'x'.

Reorder the terms:
-52 + 35x + 12x2 = 52 + -52

Combine like terms: 52 + -52 = 0
-52 + 35x + 12x2 = 0

Factor a trinomial.
(-4 + -1x)(13 + -12x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(13 + -12x)' equal to zero and attempt to solve: Simplifying 13 + -12x = 0 Solving 13 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -12x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -12x = 0 + -13 -12x = 0 + -13 Combine like terms: 0 + -13 = -13 -12x = -13 Divide each side by '-12'. x = 1.083333333 Simplifying x = 1.083333333

Solution

x = {-4, 1.083333333}

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