4x^2-36x+47=-9x+2

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Solution for 4x^2-36x+47=-9x+2 equation: 


Simplifying
4x2 + -36x + 47 = -9x + 2

Reorder the terms:
47 + -36x + 4x2 = -9x + 2

Reorder the terms:
47 + -36x + 4x2 = 2 + -9x

Solving
47 + -36x + 4x2 = 2 + -9x

Solving for variable 'x'.

Reorder the terms:
47 + -2 + -36x + 9x + 4x2 = 2 + -9x + -2 + 9x

Combine like terms: 47 + -2 = 45
45 + -36x + 9x + 4x2 = 2 + -9x + -2 + 9x

Combine like terms: -36x + 9x = -27x
45 + -27x + 4x2 = 2 + -9x + -2 + 9x

Reorder the terms:
45 + -27x + 4x2 = 2 + -2 + -9x + 9x

Combine like terms: 2 + -2 = 0
45 + -27x + 4x2 = 0 + -9x + 9x
45 + -27x + 4x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
45 + -27x + 4x2 = 0

Factor a trinomial.
(3 + -1x)(15 + -4x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(15 + -4x)' equal to zero and attempt to solve:

Simplifying
15 + -4x = 0

Solving
15 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 0 + -15
-4x = 0 + -15

Combine like terms: 0 + -15 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75
Solution
x = {3, 3.75}

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