(2x^2-11x)(9-x)(x^2-25)=0

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Solution for (2x^2-11x)(9-x)(x^2-25)=0 equation:


Simplifying
(2x2 + -11x)(9 + -1x)(x2 + -25) = 0

Reorder the terms:
(-11x + 2x2)(9 + -1x)(x2 + -25) = 0

Reorder the terms:
(-11x + 2x2)(9 + -1x)(-25 + x2) = 0

Multiply (-11x + 2x2) * (9 + -1x)
(-11x * (9 + -1x) + 2x2 * (9 + -1x))(-25 + x2) = 0
((9 * -11x + -1x * -11x) + 2x2 * (9 + -1x))(-25 + x2) = 0
((-99x + 11x2) + 2x2 * (9 + -1x))(-25 + x2) = 0
(-99x + 11x2 + (9 * 2x2 + -1x * 2x2))(-25 + x2) = 0
(-99x + 11x2 + (18x2 + -2x3))(-25 + x2) = 0

Combine like terms: 11x2 + 18x2 = 29x2
(-99x + 29x2 + -2x3)(-25 + x2) = 0

Multiply (-99x + 29x2 + -2x3) * (-25 + x2)
(-99x * (-25 + x2) + 29x2 * (-25 + x2) + -2x3 * (-25 + x2)) = 0
((-25 * -99x + x2 * -99x) + 29x2 * (-25 + x2) + -2x3 * (-25 + x2)) = 0
((2475x + -99x3) + 29x2 * (-25 + x2) + -2x3 * (-25 + x2)) = 0
(2475x + -99x3 + (-25 * 29x2 + x2 * 29x2) + -2x3 * (-25 + x2)) = 0
(2475x + -99x3 + (-725x2 + 29x4) + -2x3 * (-25 + x2)) = 0
(2475x + -99x3 + -725x2 + 29x4 + (-25 * -2x3 + x2 * -2x3)) = 0
(2475x + -99x3 + -725x2 + 29x4 + (50x3 + -2x5)) = 0

Reorder the terms:
(2475x + -725x2 + -99x3 + 50x3 + 29x4 + -2x5) = 0

Combine like terms: -99x3 + 50x3 = -49x3
(2475x + -725x2 + -49x3 + 29x4 + -2x5) = 0

Solving
2475x + -725x2 + -49x3 + 29x4 + -2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2475 + -725x + -49x2 + 29x3 + -2x4) = 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 '(2475 + -725x + -49x2 + 29x3 + -2x4)' equal to zero and attempt to solve: Simplifying 2475 + -725x + -49x2 + 29x3 + -2x4 = 0 Solving 2475 + -725x + -49x2 + 29x3 + -2x4 = 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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