3x^2-2(4)+3=45

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Solution for 3x^2-2(4)+3=45 equation: 


Simplifying
3x2 + -2(4) + 3 = 45

Multiply -2 * 4
3x2 + -8 + 3 = 45

Reorder the terms:
-8 + 3 + 3x2 = 45

Combine like terms: -8 + 3 = -5
-5 + 3x2 = 45

Solving
-5 + 3x2 = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 3x2 = 45 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2 = 45 + 5
3x2 = 45 + 5

Combine like terms: 45 + 5 = 50
3x2 = 50

Divide each side by '3'.
x2 = 16.66666667

Simplifying
x2 = 16.66666667

Take the square root of each side:
x = {-4.082482905, 4.082482905}

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