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Simplifying
(5x2 + 6x + -7) + (3x2 + -6x + 4) = 0
Reorder the terms:
(-7 + 6x + 5x2) + (3x2 + -6x + 4) = 0
Remove parenthesis around (-7 + 6x + 5x2)
-7 + 6x + 5x2 + (3x2 + -6x + 4) = 0
Reorder the terms:
-7 + 6x + 5x2 + (4 + -6x + 3x2) = 0
Remove parenthesis around (4 + -6x + 3x2)
-7 + 6x + 5x2 + 4 + -6x + 3x2 = 0
Reorder the terms:
-7 + 4 + 6x + -6x + 5x2 + 3x2 = 0
Combine like terms: -7 + 4 = -3
-3 + 6x + -6x + 5x2 + 3x2 = 0
Combine like terms: 6x + -6x = 0
-3 + 0 + 5x2 + 3x2 = 0
-3 + 5x2 + 3x2 = 0
Combine like terms: 5x2 + 3x2 = 8x2
-3 + 8x2 = 0
Solving
-3 + 8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 8x2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 8x2 = 0 + 3
8x2 = 0 + 3
Combine like terms: 0 + 3 = 3
8x2 = 3
Divide each side by '8'.
x2 = 0.375
Simplifying
x2 = 0.375
Take the square root of each side:
x = {-0.612372436, 0.612372436}
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