3x(5x-1)=-20x+4

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Solution for 3x(5x-1)=-20x+4 equation: 


Simplifying
3x(5x + -1) = -20x + 4

Reorder the terms:
3x(-1 + 5x) = -20x + 4
(-1 * 3x + 5x * 3x) = -20x + 4
(-3x + 15x2) = -20x + 4

Reorder the terms:
-3x + 15x2 = 4 + -20x

Solving
-3x + 15x2 = 4 + -20x

Solving for variable 'x'.

Reorder the terms:
-4 + -3x + 20x + 15x2 = 4 + -20x + -4 + 20x

Combine like terms: -3x + 20x = 17x
-4 + 17x + 15x2 = 4 + -20x + -4 + 20x

Reorder the terms:
-4 + 17x + 15x2 = 4 + -4 + -20x + 20x

Combine like terms: 4 + -4 = 0
-4 + 17x + 15x2 = 0 + -20x + 20x
-4 + 17x + 15x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
-4 + 17x + 15x2 = 0

Factor a trinomial.
(-4 + -3x)(1 + -5x) = 0


Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {-1.333333333, 0.2}

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