3x(7x+10)=21z^2+30x-5

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Solution for 3x(7x+10)=21z^2+30x-5 equation:


Simplifying
3x(7x + 10) = 21z2 + 30x + -5

Reorder the terms:
3x(10 + 7x) = 21z2 + 30x + -5
(10 * 3x + 7x * 3x) = 21z2 + 30x + -5
(30x + 21x2) = 21z2 + 30x + -5

Reorder the terms:
30x + 21x2 = -5 + 30x + 21z2

Add '-30x' to each side of the equation.
30x + -30x + 21x2 = -5 + 30x + -30x + 21z2

Combine like terms: 30x + -30x = 0
0 + 21x2 = -5 + 30x + -30x + 21z2
21x2 = -5 + 30x + -30x + 21z2

Combine like terms: 30x + -30x = 0
21x2 = -5 + 0 + 21z2
21x2 = -5 + 21z2

Solving
21x2 = -5 + 21z2

Solving for variable 'x'.

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

Divide each side by '21'.
x2 = -0.2380952381 + z2

Simplifying
x2 = -0.2380952381 + z2

Reorder the terms:
0.2380952381 + x2 + -1z2 = -0.2380952381 + z2 + 0.2380952381 + -1z2

Reorder the terms:
0.2380952381 + x2 + -1z2 = -0.2380952381 + 0.2380952381 + z2 + -1z2

Combine like terms: -0.2380952381 + 0.2380952381 = 0.0000000000
0.2380952381 + x2 + -1z2 = 0.0000000000 + z2 + -1z2
0.2380952381 + x2 + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
0.2380952381 + x2 + -1z2 = 0

The solution to this equation could not be determined.

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