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Simplifying
(-3x + 4) + (-4x2 + 3x + 7) = 0
Reorder the terms:
(4 + -3x) + (-4x2 + 3x + 7) = 0
Remove parenthesis around (4 + -3x)
4 + -3x + (-4x2 + 3x + 7) = 0
Reorder the terms:
4 + -3x + (7 + 3x + -4x2) = 0
Remove parenthesis around (7 + 3x + -4x2)
4 + -3x + 7 + 3x + -4x2 = 0
Reorder the terms:
4 + 7 + -3x + 3x + -4x2 = 0
Combine like terms: 4 + 7 = 11
11 + -3x + 3x + -4x2 = 0
Combine like terms: -3x + 3x = 0
11 + 0 + -4x2 = 0
11 + -4x2 = 0
Solving
11 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + -4x2 = 0 + -11
Combine like terms: 11 + -11 = 0
0 + -4x2 = 0 + -11
-4x2 = 0 + -11
Combine like terms: 0 + -11 = -11
-4x2 = -11
Divide each side by '-4'.
x2 = 2.75
Simplifying
x2 = 2.75
Take the square root of each side:
x = {-1.658312395, 1.658312395}
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