27=(5x^2)+7

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Solution for 27=(5x^2)+7 equation:


Simplifying
27 = (5x2) + 7

Reorder the terms:
27 = 7 + (5x2)

Solving
27 = 7 + (5x2)

Solving for variable 'x'.

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

Add '(-5x2)' to each side of the equation.
27 + (-5x2) = 7 + (5x2) + (-5x2)

Combine like terms: (5x2) + (-5x2) = 0
27 + (-5x2) = 7 + 0
27 + (-5x2) = 7

Add '-27' to each side of the equation.
27 + -27 + (-5x2) = 7 + -27

Combine like terms: 27 + -27 = 0
0 + (-5x2) = 7 + -27
(-5x2) = 7 + -27

Combine like terms: 7 + -27 = -20
(-5x2) = -20

Divide each side by '-5'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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