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Simplifying
(4 + 6) * 4 = (3 + 2x2) * 3
Combine like terms: 4 + 6 = 10
(10) * 4 = (3 + 2x2) * 3
Multiply 10 * 4
40 = (3 + 2x2) * 3
Reorder the terms for easier multiplication:
40 = 3(3 + 2x2)
40 = (3 * 3 + 2x2 * 3)
40 = (9 + 6x2)
Solving
40 = 9 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
40 + -6x2 = 9 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
40 + -6x2 = 9 + 0
40 + -6x2 = 9
Add '-40' to each side of the equation.
40 + -40 + -6x2 = 9 + -40
Combine like terms: 40 + -40 = 0
0 + -6x2 = 9 + -40
-6x2 = 9 + -40
Combine like terms: 9 + -40 = -31
-6x2 = -31
Divide each side by '-6'.
x2 = 5.166666667
Simplifying
x2 = 5.166666667
Take the square root of each side:
x = {-2.273030283, 2.273030283}
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