12x(x-35)x(x-46)=360

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Solution for 12x(x-35)x(x-46)=360 equation:


Simplifying
12x(x + -35) * x(x + -46) = 360

Reorder the terms:
12x(-35 + x) * x(x + -46) = 360

Reorder the terms:
12x(-35 + x) * x(-46 + x) = 360

Reorder the terms for easier multiplication:
12x * x(-35 + x)(-46 + x) = 360

Multiply x * x
12x2(-35 + x)(-46 + x) = 360

Multiply (-35 + x) * (-46 + x)
12x2(-35(-46 + x) + x(-46 + x)) = 360
12x2((-46 * -35 + x * -35) + x(-46 + x)) = 360
12x2((1610 + -35x) + x(-46 + x)) = 360
12x2(1610 + -35x + (-46 * x + x * x)) = 360
12x2(1610 + -35x + (-46x + x2)) = 360

Combine like terms: -35x + -46x = -81x
12x2(1610 + -81x + x2) = 360
(1610 * 12x2 + -81x * 12x2 + x2 * 12x2) = 360
(19320x2 + -972x3 + 12x4) = 360

Solving
19320x2 + -972x3 + 12x4 = 360

Solving for variable 'x'.

Reorder the terms:
-360 + 19320x2 + -972x3 + 12x4 = 360 + -360

Combine like terms: 360 + -360 = 0
-360 + 19320x2 + -972x3 + 12x4 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-30 + 1610x2 + -81x3 + x4) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(-30 + 1610x2 + -81x3 + x4)' equal to zero and attempt to solve: Simplifying -30 + 1610x2 + -81x3 + x4 = 0 Solving -30 + 1610x2 + -81x3 + x4 = 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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