7=15-2x^2

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Solution for 7=15-2x^2 equation:


Simplifying
7 = 15 + -2x2

Solving
7 = 15 + -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
7 + 2x2 = 15 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
7 + 2x2 = 15 + 0
7 + 2x2 = 15

Add '-7' to each side of the equation.
7 + -7 + 2x2 = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 2x2 = 15 + -7
2x2 = 15 + -7

Combine like terms: 15 + -7 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

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

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