7=9x^2-5

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Solution for 7=9x^2-5 equation:


Simplifying
7 = 9x2 + -5

Reorder the terms:
7 = -5 + 9x2

Solving
7 = -5 + 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
7 + -9x2 = -5 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
7 + -9x2 = -5 + 0
7 + -9x2 = -5

Add '-7' to each side of the equation.
7 + -7 + -9x2 = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -9x2 = -5 + -7
-9x2 = -5 + -7

Combine like terms: -5 + -7 = -12
-9x2 = -12

Divide each side by '-9'.
x2 = 1.333333333

Simplifying
x2 = 1.333333333

Take the square root of each side:
x = {-1.154700538, 1.154700538}

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