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Simplifying
(7x2 + 3) + -1(9x2 + -7) = 0
Reorder the terms:
(3 + 7x2) + -1(9x2 + -7) = 0
Remove parenthesis around (3 + 7x2)
3 + 7x2 + -1(9x2 + -7) = 0
Reorder the terms:
3 + 7x2 + -1(-7 + 9x2) = 0
3 + 7x2 + (-7 * -1 + 9x2 * -1) = 0
3 + 7x2 + (7 + -9x2) = 0
Reorder the terms:
3 + 7 + 7x2 + -9x2 = 0
Combine like terms: 3 + 7 = 10
10 + 7x2 + -9x2 = 0
Combine like terms: 7x2 + -9x2 = -2x2
10 + -2x2 = 0
Solving
10 + -2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + -2x2 = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -2x2 = 0 + -10
-2x2 = 0 + -10
Combine like terms: 0 + -10 = -10
-2x2 = -10
Divide each side by '-2'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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