3x^2-15x=-3x^2-4x-5

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Solution for 3x^2-15x=-3x^2-4x-5 equation: 


Simplifying
3x2 + -15x = -3x2 + -4x + -5

Reorder the terms:
-15x + 3x2 = -3x2 + -4x + -5

Reorder the terms:
-15x + 3x2 = -5 + -4x + -3x2

Solving
-15x + 3x2 = -5 + -4x + -3x2

Solving for variable 'x'.

Reorder the terms:
5 + -15x + 4x + 3x2 + 3x2 = -5 + -4x + -3x2 + 5 + 4x + 3x2

Combine like terms: -15x + 4x = -11x
5 + -11x + 3x2 + 3x2 = -5 + -4x + -3x2 + 5 + 4x + 3x2

Combine like terms: 3x2 + 3x2 = 6x2
5 + -11x + 6x2 = -5 + -4x + -3x2 + 5 + 4x + 3x2

Reorder the terms:
5 + -11x + 6x2 = -5 + 5 + -4x + 4x + -3x2 + 3x2

Combine like terms: -5 + 5 = 0
5 + -11x + 6x2 = 0 + -4x + 4x + -3x2 + 3x2
5 + -11x + 6x2 = -4x + 4x + -3x2 + 3x2

Combine like terms: -4x + 4x = 0
5 + -11x + 6x2 = 0 + -3x2 + 3x2
5 + -11x + 6x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
5 + -11x + 6x2 = 0

Factor a trinomial.
(5 + -6x)(1 + -1x) = 0


Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.8333333333, 1}

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