4x(x+5)=3x+15

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Solution for 4x(x+5)=3x+15 equation: 


Simplifying
4x(x + 5) = 3x + 15

Reorder the terms:
4x(5 + x) = 3x + 15
(5 * 4x + x * 4x) = 3x + 15
(20x + 4x2) = 3x + 15

Reorder the terms:
20x + 4x2 = 15 + 3x

Solving
20x + 4x2 = 15 + 3x

Solving for variable 'x'.

Reorder the terms:
-15 + 20x + -3x + 4x2 = 15 + 3x + -15 + -3x

Combine like terms: 20x + -3x = 17x
-15 + 17x + 4x2 = 15 + 3x + -15 + -3x

Reorder the terms:
-15 + 17x + 4x2 = 15 + -15 + 3x + -3x

Combine like terms: 15 + -15 = 0
-15 + 17x + 4x2 = 0 + 3x + -3x
-15 + 17x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 17x + 4x2 = 0

Factor a trinomial.
(-5 + -1x)(3 + -4x) = 0


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-5, 0.75}

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