x(4x-11)=15

Solution for x(4x-11)=15 equation:

Simplifying
x(4x + -11) = 15

Reorder the terms:
x(-11 + 4x) = 15
(-11 * x + 4x * x) = 15
(-11x + 4x2) = 15

Solving
-11x + 4x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + -11x + 4x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -11x + 4x2 = 0

Factor a trinomial.
(-1 + -1x)(15 + -4x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(15 + -4x)' equal to zero and attempt to solve:

Simplifying
15 + -4x = 0

Solving
15 + -4x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -4x = 0 + -15

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

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

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75
Solution
x = {-1, 3.75}