(4x+10)x(5x-1)=34

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Solution for (4x+10)x(5x-1)=34 equation:


Simplifying
(4x + 10) * x(5x + -1) = 34

Reorder the terms:
(10 + 4x) * x(5x + -1) = 34

Reorder the terms:
(10 + 4x) * x(-1 + 5x) = 34

Reorder the terms for easier multiplication:
x(10 + 4x)(-1 + 5x) = 34

Multiply (10 + 4x) * (-1 + 5x)
x(10(-1 + 5x) + 4x * (-1 + 5x)) = 34
x((-1 * 10 + 5x * 10) + 4x * (-1 + 5x)) = 34
x((-10 + 50x) + 4x * (-1 + 5x)) = 34
x(-10 + 50x + (-1 * 4x + 5x * 4x)) = 34
x(-10 + 50x + (-4x + 20x2)) = 34

Combine like terms: 50x + -4x = 46x
x(-10 + 46x + 20x2) = 34
(-10 * x + 46x * x + 20x2 * x) = 34
(-10x + 46x2 + 20x3) = 34

Solving
-10x + 46x2 + 20x3 = 34

Solving for variable 'x'.

Reorder the terms:
-34 + -10x + 46x2 + 20x3 = 34 + -34

Combine like terms: 34 + -34 = 0
-34 + -10x + 46x2 + 20x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-17 + -5x + 23x2 + 10x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-17 + -5x + 23x2 + 10x3)' equal to zero and attempt to solve: Simplifying -17 + -5x + 23x2 + 10x3 = 0 Solving -17 + -5x + 23x2 + 10x3 = 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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