3x(25x+15)-35(5x+3)=0

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Solution for 3x(25x+15)-35(5x+3)=0 equation: 


Simplifying
3x(25x + 15) + -35(5x + 3) = 0

Reorder the terms:
3x(15 + 25x) + -35(5x + 3) = 0
(15 * 3x + 25x * 3x) + -35(5x + 3) = 0
(45x + 75x2) + -35(5x + 3) = 0

Reorder the terms:
45x + 75x2 + -35(3 + 5x) = 0
45x + 75x2 + (3 * -35 + 5x * -35) = 0
45x + 75x2 + (-105 + -175x) = 0

Reorder the terms:
-105 + 45x + -175x + 75x2 = 0

Combine like terms: 45x + -175x = -130x
-105 + -130x + 75x2 = 0

Solving
-105 + -130x + 75x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-21 + -26x + 15x2) = 0

Factor a trinomial.
5((-3 + -5x)(7 + -3x)) = 0

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-0.6, 2.333333333}

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