5x^2+(3+x)(3-x)=7

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Solution for 5x^2+(3+x)(3-x)=7 equation:


Simplifying
5x2 + (3 + x)(3 + -1x) = 7

Multiply (3 + x) * (3 + -1x)
5x2 + (3(3 + -1x) + x(3 + -1x)) = 7
5x2 + ((3 * 3 + -1x * 3) + x(3 + -1x)) = 7
5x2 + ((9 + -3x) + x(3 + -1x)) = 7
5x2 + (9 + -3x + (3 * x + -1x * x)) = 7
5x2 + (9 + -3x + (3x + -1x2)) = 7

Combine like terms: -3x + 3x = 0
5x2 + (9 + 0 + -1x2) = 7
5x2 + (9 + -1x2) = 7

Reorder the terms:
9 + 5x2 + -1x2 = 7

Combine like terms: 5x2 + -1x2 = 4x2
9 + 4x2 = 7

Solving
9 + 4x2 = 7

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 4x2 = 7 + -9

Combine like terms: 9 + -9 = 0
0 + 4x2 = 7 + -9
4x2 = 7 + -9

Combine like terms: 7 + -9 = -2
4x2 = -2

Divide each side by '4'.
x2 = -0.5

Simplifying
x2 = -0.5

Reorder the terms:
0.5 + x2 = -0.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + x2 = 0.0

The solution to this equation could not be determined.

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