x^2+3x+5=3x+21

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Solution for x^2+3x+5=3x+21 equation:


Simplifying
x2 + 3x + 5 = 3x + 21

Reorder the terms:
5 + 3x + x2 = 3x + 21

Reorder the terms:
5 + 3x + x2 = 21 + 3x

Add '-3x' to each side of the equation.
5 + 3x + -3x + x2 = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 0 + x2 = 21 + 3x + -3x
5 + x2 = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + x2 = 21 + 0
5 + x2 = 21

Solving
5 + x2 = 21

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 + x2 = 21 + -5

Combine like terms: 5 + -5 = 0
0 + x2 = 21 + -5
x2 = 21 + -5

Combine like terms: 21 + -5 = 16
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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