(4x^2)-15=7x

Solution for (4x^2)-15=7x equation:

Simplifying
(4x2) + -15 = 7x

Reorder the terms:
-15 + (4x2) = 7x

Solving
-15 + (4x2) = 7x

Solving for variable 'x'.

Reorder the terms:
-15 + -7x + (4x2) = 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -7x + (4x2) = 0

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

Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 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 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 0 + 5
-4x = 0 + 5

Combine like terms: 0 + 5 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.25, 3}