10x^2+15=3(5+2x)

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Solution for 10x^2+15=3(5+2x) equation: 


Simplifying
10x2 + 15 = 3(5 + 2x)

Reorder the terms:
15 + 10x2 = 3(5 + 2x)
15 + 10x2 = (5 * 3 + 2x * 3)
15 + 10x2 = (15 + 6x)

Add '-15' to each side of the equation.
15 + -15 + 10x2 = 15 + -15 + 6x

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

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

Solving
10x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-6x + 10x2 = 6x + -6x

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 5x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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, 0.6}

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