4x(x+4)10(x-1)=24

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Solution for 4x(x+4)10(x-1)=24 equation:


Simplifying
4x(x + 4) * 10(x + -1) = 24

Reorder the terms:
4x(4 + x) * 10(x + -1) = 24

Reorder the terms:
4x(4 + x) * 10(-1 + x) = 24

Reorder the terms for easier multiplication:
4 * 10x(4 + x)(-1 + x) = 24

Multiply 4 * 10
40x(4 + x)(-1 + x) = 24

Multiply (4 + x) * (-1 + x)
40x(4(-1 + x) + x(-1 + x)) = 24
40x((-1 * 4 + x * 4) + x(-1 + x)) = 24
40x((-4 + 4x) + x(-1 + x)) = 24
40x(-4 + 4x + (-1 * x + x * x)) = 24
40x(-4 + 4x + (-1x + x2)) = 24

Combine like terms: 4x + -1x = 3x
40x(-4 + 3x + x2) = 24
(-4 * 40x + 3x * 40x + x2 * 40x) = 24
(-160x + 120x2 + 40x3) = 24

Solving
-160x + 120x2 + 40x3 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + -160x + 120x2 + 40x3 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -160x + 120x2 + 40x3 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-3 + -20x + 15x2 + 5x3) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-3 + -20x + 15x2 + 5x3)' equal to zero and attempt to solve: Simplifying -3 + -20x + 15x2 + 5x3 = 0 Solving -3 + -20x + 15x2 + 5x3 = 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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