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Simplifying
x2 + -100 = 6x2 + -2100
Reorder the terms:
-100 + x2 = 6x2 + -2100
Reorder the terms:
-100 + x2 = -2100 + 6x2
Solving
-100 + x2 = -2100 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
-100 + x2 + -6x2 = -2100 + 6x2 + -6x2
Combine like terms: x2 + -6x2 = -5x2
-100 + -5x2 = -2100 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-100 + -5x2 = -2100 + 0
-100 + -5x2 = -2100
Add '100' to each side of the equation.
-100 + 100 + -5x2 = -2100 + 100
Combine like terms: -100 + 100 = 0
0 + -5x2 = -2100 + 100
-5x2 = -2100 + 100
Combine like terms: -2100 + 100 = -2000
-5x2 = -2000
Divide each side by '-5'.
x2 = 400
Simplifying
x2 = 400
Take the square root of each side:
x = {-20, 20}
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