6-(5x^2)=(7x)

Solution for 6-(5x^2)=(7x) equation:

Simplifying
6 + -1(5x2) = (7x)

Remove parenthesis around (5x2)
6 + -1 * 5x2 = (7x)

Multiply -1 * 5
6 + -5x2 = (7x)

Solving
6 + -5x2 = (7x)

Solving for variable 'x'.

Reorder the terms:
6 + (-7x) + -5x2 = (7x) + (-7x)

Combine like terms: (7x) + (-7x) = 0
6 + (-7x) + -5x2 = 0

Factor a trinomial.
(3 + -5x)(2 + x) = 0

Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0.6, -2}