1225=2(x^2)-14+49

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Solution for 1225=2(x^2)-14+49 equation:


Simplifying
1225 = 2(x2) + -14 + 49

Reorder the terms:
1225 = -14 + 49 + 2x2

Combine like terms: -14 + 49 = 35
1225 = 35 + 2x2

Solving
1225 = 35 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
1225 + -2x2 = 35 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1225 + -2x2 = 35 + 0
1225 + -2x2 = 35

Add '-1225' to each side of the equation.
1225 + -1225 + -2x2 = 35 + -1225

Combine like terms: 1225 + -1225 = 0
0 + -2x2 = 35 + -1225
-2x2 = 35 + -1225

Combine like terms: 35 + -1225 = -1190
-2x2 = -1190

Divide each side by '-2'.
x2 = 595

Simplifying
x2 = 595

Take the square root of each side:
x = {-24.392621835, 24.392621835}

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