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Simplifying
(4x2 + -3x + 8) + (3x + -8x2 + 5) = 0
Reorder the terms:
(8 + -3x + 4x2) + (3x + -8x2 + 5) = 0
Remove parenthesis around (8 + -3x + 4x2)
8 + -3x + 4x2 + (3x + -8x2 + 5) = 0
Reorder the terms:
8 + -3x + 4x2 + (5 + 3x + -8x2) = 0
Remove parenthesis around (5 + 3x + -8x2)
8 + -3x + 4x2 + 5 + 3x + -8x2 = 0
Reorder the terms:
8 + 5 + -3x + 3x + 4x2 + -8x2 = 0
Combine like terms: 8 + 5 = 13
13 + -3x + 3x + 4x2 + -8x2 = 0
Combine like terms: -3x + 3x = 0
13 + 0 + 4x2 + -8x2 = 0
13 + 4x2 + -8x2 = 0
Combine like terms: 4x2 + -8x2 = -4x2
13 + -4x2 = 0
Solving
13 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + -4x2 = 0 + -13
Combine like terms: 13 + -13 = 0
0 + -4x2 = 0 + -13
-4x2 = 0 + -13
Combine like terms: 0 + -13 = -13
-4x2 = -13
Divide each side by '-4'.
x2 = 3.25
Simplifying
x2 = 3.25
Take the square root of each side:
x = {-1.802775638, 1.802775638}
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