x^2-10+x^2-10+x^2-98+x^2-98=360

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Solution for x^2-10+x^2-10+x^2-98+x^2-98=360 equation:


Simplifying
x2 + -10 + x2 + -10 + x2 + -98 + x2 + -98 = 360

Reorder the terms:
-10 + -10 + -98 + -98 + x2 + x2 + x2 + x2 = 360

Combine like terms: -10 + -10 = -20
-20 + -98 + -98 + x2 + x2 + x2 + x2 = 360

Combine like terms: -20 + -98 = -118
-118 + -98 + x2 + x2 + x2 + x2 = 360

Combine like terms: -118 + -98 = -216
-216 + x2 + x2 + x2 + x2 = 360

Combine like terms: x2 + x2 = 2x2
-216 + 2x2 + x2 + x2 = 360

Combine like terms: 2x2 + x2 = 3x2
-216 + 3x2 + x2 = 360

Combine like terms: 3x2 + x2 = 4x2
-216 + 4x2 = 360

Solving
-216 + 4x2 = 360

Solving for variable 'x'.

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

Add '216' to each side of the equation.
-216 + 216 + 4x2 = 360 + 216

Combine like terms: -216 + 216 = 0
0 + 4x2 = 360 + 216
4x2 = 360 + 216

Combine like terms: 360 + 216 = 576
4x2 = 576

Divide each side by '4'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}

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