2(7x^2+15)=47x

Solution for 2(7x^2+15)=47x equation:

Simplifying
2(7x2 + 15) = 47x

Reorder the terms:
2(15 + 7x2) = 47x
(15 * 2 + 7x2 * 2) = 47x
(30 + 14x2) = 47x

Solving
30 + 14x2 = 47x

Solving for variable 'x'.

Reorder the terms:
30 + -47x + 14x2 = 47x + -47x

Combine like terms: 47x + -47x = 0
30 + -47x + 14x2 = 0

Factor a trinomial.
(6 + -7x)(5 + -2x) = 0

Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.8571428571, 2.5}