(x^2-5x+3)(2x^2+x-7)=0

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Solution for (x^2-5x+3)(2x^2+x-7)=0 equation:


Simplifying
(x2 + -5x + 3)(2x2 + x + -7) = 0

Reorder the terms:
(3 + -5x + x2)(2x2 + x + -7) = 0

Reorder the terms:
(3 + -5x + x2)(-7 + x + 2x2) = 0

Multiply (3 + -5x + x2) * (-7 + x + 2x2)
(3(-7 + x + 2x2) + -5x * (-7 + x + 2x2) + x2(-7 + x + 2x2)) = 0
((-7 * 3 + x * 3 + 2x2 * 3) + -5x * (-7 + x + 2x2) + x2(-7 + x + 2x2)) = 0
((-21 + 3x + 6x2) + -5x * (-7 + x + 2x2) + x2(-7 + x + 2x2)) = 0
(-21 + 3x + 6x2 + (-7 * -5x + x * -5x + 2x2 * -5x) + x2(-7 + x + 2x2)) = 0
(-21 + 3x + 6x2 + (35x + -5x2 + -10x3) + x2(-7 + x + 2x2)) = 0
(-21 + 3x + 6x2 + 35x + -5x2 + -10x3 + (-7 * x2 + x * x2 + 2x2 * x2)) = 0
(-21 + 3x + 6x2 + 35x + -5x2 + -10x3 + (-7x2 + x3 + 2x4)) = 0

Reorder the terms:
(-21 + 3x + 35x + 6x2 + -5x2 + -7x2 + -10x3 + x3 + 2x4) = 0

Combine like terms: 3x + 35x = 38x
(-21 + 38x + 6x2 + -5x2 + -7x2 + -10x3 + x3 + 2x4) = 0

Combine like terms: 6x2 + -5x2 = 1x2
(-21 + 38x + 1x2 + -7x2 + -10x3 + x3 + 2x4) = 0

Combine like terms: 1x2 + -7x2 = -6x2
(-21 + 38x + -6x2 + -10x3 + x3 + 2x4) = 0

Combine like terms: -10x3 + x3 = -9x3
(-21 + 38x + -6x2 + -9x3 + 2x4) = 0

Solving
-21 + 38x + -6x2 + -9x3 + 2x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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