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

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


Simplifying
4(3x + -5) + 5x(3x + -5) = 0

Reorder the terms:
4(-5 + 3x) + 5x(3x + -5) = 0
(-5 * 4 + 3x * 4) + 5x(3x + -5) = 0
(-20 + 12x) + 5x(3x + -5) = 0

Reorder the terms:
-20 + 12x + 5x(-5 + 3x) = 0
-20 + 12x + (-5 * 5x + 3x * 5x) = 0
-20 + 12x + (-25x + 15x2) = 0

Combine like terms: 12x + -25x = -13x
-20 + -13x + 15x2 = 0

Solving
-20 + -13x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 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 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

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

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-0.8, 1.666666667}

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