3x^2-15x=15x-87

Solution for 3x^2-15x=15x-87 equation:

Simplifying
3x2 + -15x = 15x + -87

Reorder the terms:
-15x + 3x2 = 15x + -87

Reorder the terms:
-15x + 3x2 = -87 + 15x

Solving
-15x + 3x2 = -87 + 15x

Solving for variable 'x'.

Reorder the terms:
87 + -15x + -15x + 3x2 = -87 + 15x + 87 + -15x

Combine like terms: -15x + -15x = -30x
87 + -30x + 3x2 = -87 + 15x + 87 + -15x

Reorder the terms:
87 + -30x + 3x2 = -87 + 87 + 15x + -15x

Combine like terms: -87 + 87 = 0
87 + -30x + 3x2 = 0 + 15x + -15x
87 + -30x + 3x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
87 + -30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(29 + -10x + x2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(29 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
29 + -10x + x2 = 0

Solving
29 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + -10x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + -10x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -10x + x2 = 0 + -29
-10x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
-10x + x2 = -29

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -29 + 25

Reorder the terms:
25 + -10x + x2 = -29 + 25

Combine like terms: -29 + 25 = -4
25 + -10x + x2 = -4

Factor a perfect square on the left side:
(x + -5)(x + -5) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.