2x(5x+3)-3(5x+3)=

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Solution for 2x(5x+3)-3(5x+3)= equation:


Simplifying
2x(5x + 3) + -3(5x + 3) = 0

Reorder the terms:
2x(3 + 5x) + -3(5x + 3) = 0
(3 * 2x + 5x * 2x) + -3(5x + 3) = 0
(6x + 10x2) + -3(5x + 3) = 0

Reorder the terms:
6x + 10x2 + -3(3 + 5x) = 0
6x + 10x2 + (3 * -3 + 5x * -3) = 0
6x + 10x2 + (-9 + -15x) = 0

Reorder the terms:
-9 + 6x + -15x + 10x2 = 0

Combine like terms: 6x + -15x = -9x
-9 + -9x + 10x2 = 0

Solving
-9 + -9x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -5x)(3 + -2x) = 0


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 '(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
Solution
x = {-0.6, 1.5}

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