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Simplifying
257 = 7x2 + 5
Reorder the terms:
257 = 5 + 7x2
Solving
257 = 5 + 7x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x2' to each side of the equation.
257 + -7x2 = 5 + 7x2 + -7x2
Combine like terms: 7x2 + -7x2 = 0
257 + -7x2 = 5 + 0
257 + -7x2 = 5
Add '-257' to each side of the equation.
257 + -257 + -7x2 = 5 + -257
Combine like terms: 257 + -257 = 0
0 + -7x2 = 5 + -257
-7x2 = 5 + -257
Combine like terms: 5 + -257 = -252
-7x2 = -252
Divide each side by '-7'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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