(10x+3)(7x-10)(8x-10)=0

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Solution for (10x+3)(7x-10)(8x-10)=0 equation: 


Simplifying
(10x + 3)(7x + -10)(8x + -10) = 0

Reorder the terms:
(3 + 10x)(7x + -10)(8x + -10) = 0

Reorder the terms:
(3 + 10x)(-10 + 7x)(8x + -10) = 0

Reorder the terms:
(3 + 10x)(-10 + 7x)(-10 + 8x) = 0

Multiply (3 + 10x) * (-10 + 7x)
(3(-10 + 7x) + 10x * (-10 + 7x))(-10 + 8x) = 0
((-10 * 3 + 7x * 3) + 10x * (-10 + 7x))(-10 + 8x) = 0
((-30 + 21x) + 10x * (-10 + 7x))(-10 + 8x) = 0
(-30 + 21x + (-10 * 10x + 7x * 10x))(-10 + 8x) = 0
(-30 + 21x + (-100x + 70x2))(-10 + 8x) = 0

Combine like terms: 21x + -100x = -79x
(-30 + -79x + 70x2)(-10 + 8x) = 0

Multiply (-30 + -79x + 70x2) * (-10 + 8x)
(-30(-10 + 8x) + -79x * (-10 + 8x) + 70x2 * (-10 + 8x)) = 0
((-10 * -30 + 8x * -30) + -79x * (-10 + 8x) + 70x2 * (-10 + 8x)) = 0
((300 + -240x) + -79x * (-10 + 8x) + 70x2 * (-10 + 8x)) = 0
(300 + -240x + (-10 * -79x + 8x * -79x) + 70x2 * (-10 + 8x)) = 0
(300 + -240x + (790x + -632x2) + 70x2 * (-10 + 8x)) = 0
(300 + -240x + 790x + -632x2 + (-10 * 70x2 + 8x * 70x2)) = 0
(300 + -240x + 790x + -632x2 + (-700x2 + 560x3)) = 0

Combine like terms: -240x + 790x = 550x
(300 + 550x + -632x2 + -700x2 + 560x3) = 0

Combine like terms: -632x2 + -700x2 = -1332x2
(300 + 550x + -1332x2 + 560x3) = 0

Solving
300 + 550x + -1332x2 + 560x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(150 + 275x + -666x2 + 280x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(150 + 275x + -666x2 + 280x3)' equal to zero and attempt to solve:

Simplifying
150 + 275x + -666x2 + 280x3 = 0

Solving
150 + 275x + -666x2 + 280x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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