0=3x-4x^2-15+20x

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Solution for 0=3x-4x^2-15+20x equation: 


Simplifying
0 = 3x + -4x2 + -15 + 20x

Reorder the terms:
0 = -15 + 3x + 20x + -4x2

Combine like terms: 3x + 20x = 23x
0 = -15 + 23x + -4x2

Solving
0 = -15 + 23x + -4x2

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + -23x + 4x2 = -15 + 23x + -4x2 + 15 + -23x + 4x2

Reorder the terms:
15 + -23x + 4x2 = -15 + 15 + 23x + -23x + -4x2 + 4x2

Combine like terms: -15 + 15 = 0
15 + -23x + 4x2 = 0 + 23x + -23x + -4x2 + 4x2
15 + -23x + 4x2 = 23x + -23x + -4x2 + 4x2

Combine like terms: 23x + -23x = 0
15 + -23x + 4x2 = 0 + -4x2 + 4x2
15 + -23x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
15 + -23x + 4x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {0.75, 5}

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