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Simplifying
7x2 + -162 + -169 = 0
Reorder the terms:
-162 + -169 + 7x2 = 0
Combine like terms: -162 + -169 = -331
-331 + 7x2 = 0
Solving
-331 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '331' to each side of the equation.
-331 + 331 + 7x2 = 0 + 331
Combine like terms: -331 + 331 = 0
0 + 7x2 = 0 + 331
7x2 = 0 + 331
Combine like terms: 0 + 331 = 331
7x2 = 331
Divide each side by '7'.
x2 = 47.28571429
Simplifying
x2 = 47.28571429
Take the square root of each side:
x = {-6.876460884, 6.876460884}
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