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Simplifying
-3x2 + 16 = 4x2 + -5
Reorder the terms:
16 + -3x2 = 4x2 + -5
Reorder the terms:
16 + -3x2 = -5 + 4x2
Solving
16 + -3x2 = -5 + 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.
16 + -3x2 + -4x2 = -5 + 4x2 + -4x2
Combine like terms: -3x2 + -4x2 = -7x2
16 + -7x2 = -5 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
16 + -7x2 = -5 + 0
16 + -7x2 = -5
Add '-16' to each side of the equation.
16 + -16 + -7x2 = -5 + -16
Combine like terms: 16 + -16 = 0
0 + -7x2 = -5 + -16
-7x2 = -5 + -16
Combine like terms: -5 + -16 = -21
-7x2 = -21
Divide each side by '-7'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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