-5x(4x-6)+5=-20x+35

Solution for -5x(4x-6)+5=-20x+35 equation:

Simplifying
-5x(4x + -6) + 5 = -20x + 35

Reorder the terms:
-5x(-6 + 4x) + 5 = -20x + 35
(-6 * -5x + 4x * -5x) + 5 = -20x + 35
(30x + -20x2) + 5 = -20x + 35

Reorder the terms:
5 + 30x + -20x2 = -20x + 35

Reorder the terms:
5 + 30x + -20x2 = 35 + -20x

Solving
5 + 30x + -20x2 = 35 + -20x

Solving for variable 'x'.

Reorder the terms:
5 + -35 + 30x + 20x + -20x2 = 35 + -20x + -35 + 20x

Combine like terms: 5 + -35 = -30
-30 + 30x + 20x + -20x2 = 35 + -20x + -35 + 20x

Combine like terms: 30x + 20x = 50x
-30 + 50x + -20x2 = 35 + -20x + -35 + 20x

Reorder the terms:
-30 + 50x + -20x2 = 35 + -35 + -20x + 20x

Combine like terms: 35 + -35 = 0
-30 + 50x + -20x2 = 0 + -20x + 20x
-30 + 50x + -20x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
-30 + 50x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-3 + 5x + -2x2) = 0

Factor a trinomial.
10((-3 + 2x)(1 + -1x)) = 0

Ignore the factor 10.
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 '(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 = {1.5, 1}