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Simplifying
5x2 + -10 = 12x2 + -100
Reorder the terms:
-10 + 5x2 = 12x2 + -100
Reorder the terms:
-10 + 5x2 = -100 + 12x2
Solving
-10 + 5x2 = -100 + 12x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x2' to each side of the equation.
-10 + 5x2 + -12x2 = -100 + 12x2 + -12x2
Combine like terms: 5x2 + -12x2 = -7x2
-10 + -7x2 = -100 + 12x2 + -12x2
Combine like terms: 12x2 + -12x2 = 0
-10 + -7x2 = -100 + 0
-10 + -7x2 = -100
Add '10' to each side of the equation.
-10 + 10 + -7x2 = -100 + 10
Combine like terms: -10 + 10 = 0
0 + -7x2 = -100 + 10
-7x2 = -100 + 10
Combine like terms: -100 + 10 = -90
-7x2 = -90
Divide each side by '-7'.
x2 = 12.85714286
Simplifying
x2 = 12.85714286
Take the square root of each side:
x = {-3.585685828, 3.585685828}
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