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Simplifying
11x2 + 3 = 5(4x2 + -3)
Reorder the terms:
3 + 11x2 = 5(4x2 + -3)
Reorder the terms:
3 + 11x2 = 5(-3 + 4x2)
3 + 11x2 = (-3 * 5 + 4x2 * 5)
3 + 11x2 = (-15 + 20x2)
Solving
3 + 11x2 = -15 + 20x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20x2' to each side of the equation.
3 + 11x2 + -20x2 = -15 + 20x2 + -20x2
Combine like terms: 11x2 + -20x2 = -9x2
3 + -9x2 = -15 + 20x2 + -20x2
Combine like terms: 20x2 + -20x2 = 0
3 + -9x2 = -15 + 0
3 + -9x2 = -15
Add '-3' to each side of the equation.
3 + -3 + -9x2 = -15 + -3
Combine like terms: 3 + -3 = 0
0 + -9x2 = -15 + -3
-9x2 = -15 + -3
Combine like terms: -15 + -3 = -18
-9x2 = -18
Divide each side by '-9'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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