0=(-7x^2)+38x-15

Solution for 0=(-7x^2)+38x-15 equation:

Simplifying
0 = (-7x2) + 38x + -15

Reorder the terms:
0 = -15 + 38x + (-7x2)

Solving
0 = -15 + 38x + (-7x2)

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + -38x + (7x2) = -15 + 38x + (-7x2) + 15 + -38x + (7x2)

Reorder the terms:
15 + -38x + (7x2) = -15 + 15 + 38x + -38x + (-7x2) + (7x2)

Combine like terms: -15 + 15 = 0
15 + -38x + (7x2) = 0 + 38x + -38x + (-7x2) + (7x2)
15 + -38x + (7x2) = 38x + -38x + (-7x2) + (7x2)

Combine like terms: 38x + -38x = 0
15 + -38x + (7x2) = 0 + (-7x2) + (7x2)
15 + -38x + (7x2) = (-7x2) + (7x2)

Combine like terms: (-7x2) + (7x2) = 0
15 + -38x + (7x2) = 0

Factor a trinomial.
(3 + -7x)(5 + -1x) = 0

Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
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 = {0.4285714286, 5}