3x^2-20x=-4x^2-7x-6

Solution for 3x^2-20x=-4x^2-7x-6 equation:

Simplifying
3x2 + -20x = -4x2 + -7x + -6

Reorder the terms:
-20x + 3x2 = -4x2 + -7x + -6

Reorder the terms:
-20x + 3x2 = -6 + -7x + -4x2

Solving
-20x + 3x2 = -6 + -7x + -4x2

Solving for variable 'x'.

Reorder the terms:
6 + -20x + 7x + 3x2 + 4x2 = -6 + -7x + -4x2 + 6 + 7x + 4x2

Combine like terms: -20x + 7x = -13x
6 + -13x + 3x2 + 4x2 = -6 + -7x + -4x2 + 6 + 7x + 4x2

Combine like terms: 3x2 + 4x2 = 7x2
6 + -13x + 7x2 = -6 + -7x + -4x2 + 6 + 7x + 4x2

Reorder the terms:
6 + -13x + 7x2 = -6 + 6 + -7x + 7x + -4x2 + 4x2

Combine like terms: -6 + 6 = 0
6 + -13x + 7x2 = 0 + -7x + 7x + -4x2 + 4x2
6 + -13x + 7x2 = -7x + 7x + -4x2 + 4x2

Combine like terms: -7x + 7x = 0
6 + -13x + 7x2 = 0 + -4x2 + 4x2
6 + -13x + 7x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
6 + -13x + 7x2 = 0

Factor a trinomial.
(6 + -7x)(1 + -1x) = 0

Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
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 = {0.8571428571, 1}