2x^2+6x+4=15x-5

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Solution for 2x^2+6x+4=15x-5 equation: 


Simplifying
2x2 + 6x + 4 = 15x + -5

Reorder the terms:
4 + 6x + 2x2 = 15x + -5

Reorder the terms:
4 + 6x + 2x2 = -5 + 15x

Solving
4 + 6x + 2x2 = -5 + 15x

Solving for variable 'x'.

Reorder the terms:
4 + 5 + 6x + -15x + 2x2 = -5 + 15x + 5 + -15x

Combine like terms: 4 + 5 = 9
9 + 6x + -15x + 2x2 = -5 + 15x + 5 + -15x

Combine like terms: 6x + -15x = -9x
9 + -9x + 2x2 = -5 + 15x + 5 + -15x

Reorder the terms:
9 + -9x + 2x2 = -5 + 5 + 15x + -15x

Combine like terms: -5 + 5 = 0
9 + -9x + 2x2 = 0 + 15x + -15x
9 + -9x + 2x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
9 + -9x + 2x2 = 0

Factor a trinomial.
(3 + -2x)(3 + -1x) = 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 '(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
Solution
x = {1.5, 3}

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