(7x^2-2x)(x^2-2+1)=

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Solution for (7x^2-2x)(x^2-2+1)= equation:


Simplifying
(7x2 + -2x)(x2 + -2 + 1) = 0

Reorder the terms:
(-2x + 7x2)(x2 + -2 + 1) = 0

Reorder the terms:
(-2x + 7x2)(-2 + 1 + x2) = 0

Combine like terms: -2 + 1 = -1
(-2x + 7x2)(-1 + x2) = 0

Multiply (-2x + 7x2) * (-1 + x2)
(-2x * (-1 + x2) + 7x2 * (-1 + x2)) = 0
((-1 * -2x + x2 * -2x) + 7x2 * (-1 + x2)) = 0
((2x + -2x3) + 7x2 * (-1 + x2)) = 0
(2x + -2x3 + (-1 * 7x2 + x2 * 7x2)) = 0
(2x + -2x3 + (-7x2 + 7x4)) = 0

Reorder the terms:
(2x + -7x2 + -2x3 + 7x4) = 0
(2x + -7x2 + -2x3 + 7x4) = 0

Solving
2x + -7x2 + -2x3 + 7x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -7x + -2x2 + 7x3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(2 + -7x + -2x2 + 7x3)' equal to zero and attempt to solve: Simplifying 2 + -7x + -2x2 + 7x3 = 0 Solving 2 + -7x + -2x2 + 7x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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