(7x+10)(49x^2-70x+100)=y

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Solution for (7x+10)(49x^2-70x+100)=y equation:


Simplifying
(7x + 10)(49x2 + -70x + 100) = y

Reorder the terms:
(10 + 7x)(49x2 + -70x + 100) = y

Reorder the terms:
(10 + 7x)(100 + -70x + 49x2) = y

Multiply (10 + 7x) * (100 + -70x + 49x2)
(10(100 + -70x + 49x2) + 7x * (100 + -70x + 49x2)) = y
((100 * 10 + -70x * 10 + 49x2 * 10) + 7x * (100 + -70x + 49x2)) = y
((1000 + -700x + 490x2) + 7x * (100 + -70x + 49x2)) = y
(1000 + -700x + 490x2 + (100 * 7x + -70x * 7x + 49x2 * 7x)) = y
(1000 + -700x + 490x2 + (700x + -490x2 + 343x3)) = y

Reorder the terms:
(1000 + -700x + 700x + 490x2 + -490x2 + 343x3) = y

Combine like terms: -700x + 700x = 0
(1000 + 0 + 490x2 + -490x2 + 343x3) = y
(1000 + 490x2 + -490x2 + 343x3) = y

Combine like terms: 490x2 + -490x2 = 0
(1000 + 0 + 343x3) = y
(1000 + 343x3) = y

Solving
1000 + 343x3 = y

Solving for variable 'x'.

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

Add '-1000' to each side of the equation.
1000 + -1000 + 343x3 = -1000 + y

Combine like terms: 1000 + -1000 = 0
0 + 343x3 = -1000 + y
343x3 = -1000 + y

Divide each side by '343'.
x3 = -2.915451895 + 0.002915451895y

Simplifying
x3 = -2.915451895 + 0.002915451895y

Reorder the terms:
2.915451895 + x3 + -0.002915451895y = -2.915451895 + 0.002915451895y + 2.915451895 + -0.002915451895y

Reorder the terms:
2.915451895 + x3 + -0.002915451895y = -2.915451895 + 2.915451895 + 0.002915451895y + -0.002915451895y

Combine like terms: -2.915451895 + 2.915451895 = 0.000000000
2.915451895 + x3 + -0.002915451895y = 0.000000000 + 0.002915451895y + -0.002915451895y
2.915451895 + x3 + -0.002915451895y = 0.002915451895y + -0.002915451895y

Combine like terms: 0.002915451895y + -0.002915451895y = 0.000000000000
2.915451895 + x3 + -0.002915451895y = 0.000000000000

The solution to this equation could not be determined.

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