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