7x^2-27-40=0

Solution for 7x^2-27-40=0 equation:

Simplifying
7x2 + -27 + -40 = 0

Reorder the terms:
-27 + -40 + 7x2 = 0

Combine like terms: -27 + -40 = -67
-67 + 7x2 = 0

Solving
-67 + 7x2 = 0

Solving for variable 'x'.

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

Add '67' to each side of the equation.
-67 + 67 + 7x2 = 0 + 67

Combine like terms: -67 + 67 = 0
0 + 7x2 = 0 + 67
7x2 = 0 + 67

Combine like terms: 0 + 67 = 67
7x2 = 67

Divide each side by '7'.
x2 = 9.571428571

Simplifying
x2 = 9.571428571

Take the square root of each side:
x = {-3.093772547, 3.093772547}