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Simplifying
4x2 + -62 = 98 + -6x2
Reorder the terms:
-62 + 4x2 = 98 + -6x2
Solving
-62 + 4x2 = 98 + -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.
-62 + 4x2 + 6x2 = 98 + -6x2 + 6x2
Combine like terms: 4x2 + 6x2 = 10x2
-62 + 10x2 = 98 + -6x2 + 6x2
Combine like terms: -6x2 + 6x2 = 0
-62 + 10x2 = 98 + 0
-62 + 10x2 = 98
Add '62' to each side of the equation.
-62 + 62 + 10x2 = 98 + 62
Combine like terms: -62 + 62 = 0
0 + 10x2 = 98 + 62
10x2 = 98 + 62
Combine like terms: 98 + 62 = 160
10x2 = 160
Divide each side by '10'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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