10(x-1)4x(x+4)=288

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Solution for 10(x-1)4x(x+4)=288 equation:


Simplifying
10(x + -1) * 4x(x + 4) = 288

Reorder the terms:
10(-1 + x) * 4x(x + 4) = 288

Reorder the terms:
10(-1 + x) * 4x(4 + x) = 288

Reorder the terms for easier multiplication:
10 * 4x(-1 + x)(4 + x) = 288

Multiply 10 * 4
40x(-1 + x)(4 + x) = 288

Multiply (-1 + x) * (4 + x)
40x(-1(4 + x) + x(4 + x)) = 288
40x((4 * -1 + x * -1) + x(4 + x)) = 288
40x((-4 + -1x) + x(4 + x)) = 288
40x(-4 + -1x + (4 * x + x * x)) = 288
40x(-4 + -1x + (4x + x2)) = 288

Combine like terms: -1x + 4x = 3x
40x(-4 + 3x + x2) = 288
(-4 * 40x + 3x * 40x + x2 * 40x) = 288
(-160x + 120x2 + 40x3) = 288

Solving
-160x + 120x2 + 40x3 = 288

Solving for variable 'x'.

Reorder the terms:
-288 + -160x + 120x2 + 40x3 = 288 + -288

Combine like terms: 288 + -288 = 0
-288 + -160x + 120x2 + 40x3 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-36 + -20x + 15x2 + 5x3) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-36 + -20x + 15x2 + 5x3)' equal to zero and attempt to solve: Simplifying -36 + -20x + 15x2 + 5x3 = 0 Solving -36 + -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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