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Simplifying
5x2 + 9x2 + -4 = 4x2 + 96
Reorder the terms:
-4 + 5x2 + 9x2 = 4x2 + 96
Combine like terms: 5x2 + 9x2 = 14x2
-4 + 14x2 = 4x2 + 96
Reorder the terms:
-4 + 14x2 = 96 + 4x2
Solving
-4 + 14x2 = 96 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-4 + 14x2 + -4x2 = 96 + 4x2 + -4x2
Combine like terms: 14x2 + -4x2 = 10x2
-4 + 10x2 = 96 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-4 + 10x2 = 96 + 0
-4 + 10x2 = 96
Add '4' to each side of the equation.
-4 + 4 + 10x2 = 96 + 4
Combine like terms: -4 + 4 = 0
0 + 10x2 = 96 + 4
10x2 = 96 + 4
Combine like terms: 96 + 4 = 100
10x2 = 100
Divide each side by '10'.
x2 = 10
Simplifying
x2 = 10
Take the square root of each side:
x = {-3.16227766, 3.16227766}
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