3x(5x-3)=-5x+3

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


Simplifying
3x(5x + -3) = -5x + 3

Reorder the terms:
3x(-3 + 5x) = -5x + 3
(-3 * 3x + 5x * 3x) = -5x + 3
(-9x + 15x2) = -5x + 3

Reorder the terms:
-9x + 15x2 = 3 + -5x

Solving
-9x + 15x2 = 3 + -5x

Solving for variable 'x'.

Reorder the terms:
-3 + -9x + 5x + 15x2 = 3 + -5x + -3 + 5x

Combine like terms: -9x + 5x = -4x
-3 + -4x + 15x2 = 3 + -5x + -3 + 5x

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

Combine like terms: 3 + -3 = 0
-3 + -4x + 15x2 = 0 + -5x + 5x
-3 + -4x + 15x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + -4x + 15x2 = 0

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


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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-0.3333333333, 0.6}

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