(5x-3)(10x+3)=

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Solution for (5x-3)(10x+3)= equation: 


Simplifying
(5x + -3)(10x + 3) = 0

Reorder the terms:
(-3 + 5x)(10x + 3) = 0

Reorder the terms:
(-3 + 5x)(3 + 10x) = 0

Multiply (-3 + 5x) * (3 + 10x)
(-3(3 + 10x) + 5x * (3 + 10x)) = 0
((3 * -3 + 10x * -3) + 5x * (3 + 10x)) = 0
((-9 + -30x) + 5x * (3 + 10x)) = 0
(-9 + -30x + (3 * 5x + 10x * 5x)) = 0
(-9 + -30x + (15x + 50x2)) = 0

Combine like terms: -30x + 15x = -15x
(-9 + -15x + 50x2) = 0

Solving
-9 + -15x + 50x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -10x)(3 + -5x) = 0


Subproblem 1
Set the factor '(-3 + -10x)' equal to zero and attempt to solve:

Simplifying
-3 + -10x = 0

Solving
-3 + -10x = 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 + -10x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -10x = 0 + 3
-10x = 0 + 3

Combine like terms: 0 + 3 = 3
-10x = 3

Divide each side by '-10'.
x = -0.3

Simplifying
x = -0.3

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 = {-0.3, 0.6}

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