2=5x^2-10

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Solution for 2=5x^2-10 equation:


Simplifying
2 = 5x2 + -10

Reorder the terms:
2 = -10 + 5x2

Solving
2 = -10 + 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.
2 + -5x2 = -10 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
2 + -5x2 = -10 + 0
2 + -5x2 = -10

Add '-2' to each side of the equation.
2 + -2 + -5x2 = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -5x2 = -10 + -2
-5x2 = -10 + -2

Combine like terms: -10 + -2 = -12
-5x2 = -12

Divide each side by '-5'.
x2 = 2.4

Simplifying
x2 = 2.4

Take the square root of each side:
x = {-1.549193338, 1.549193338}

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