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Simplifying
(7x + 4) + (10x2 + -7x + -7) = 0
Reorder the terms:
(4 + 7x) + (10x2 + -7x + -7) = 0
Remove parenthesis around (4 + 7x)
4 + 7x + (10x2 + -7x + -7) = 0
Reorder the terms:
4 + 7x + (-7 + -7x + 10x2) = 0
Remove parenthesis around (-7 + -7x + 10x2)
4 + 7x + -7 + -7x + 10x2 = 0
Reorder the terms:
4 + -7 + 7x + -7x + 10x2 = 0
Combine like terms: 4 + -7 = -3
-3 + 7x + -7x + 10x2 = 0
Combine like terms: 7x + -7x = 0
-3 + 0 + 10x2 = 0
-3 + 10x2 = 0
Solving
-3 + 10x2 = 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 + 10x2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 10x2 = 0 + 3
10x2 = 0 + 3
Combine like terms: 0 + 3 = 3
10x2 = 3
Divide each side by '10'.
x2 = 0.3
Simplifying
x2 = 0.3
Take the square root of each side:
x = {-0.547722558, 0.547722558}
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