2(x-2)(x-3)(x+5)=

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Solution for 2(x-2)(x-3)(x+5)= equation:


Simplifying
2(x + -2)(x + -3)(x + 5) = 0

Reorder the terms:
2(-2 + x)(x + -3)(x + 5) = 0

Reorder the terms:
2(-2 + x)(-3 + x)(x + 5) = 0

Reorder the terms:
2(-2 + x)(-3 + x)(5 + x) = 0

Multiply (-2 + x) * (-3 + x)
2(-2(-3 + x) + x(-3 + x))(5 + x) = 0
2((-3 * -2 + x * -2) + x(-3 + x))(5 + x) = 0
2((6 + -2x) + x(-3 + x))(5 + x) = 0
2(6 + -2x + (-3 * x + x * x))(5 + x) = 0
2(6 + -2x + (-3x + x2))(5 + x) = 0

Combine like terms: -2x + -3x = -5x
2(6 + -5x + x2)(5 + x) = 0

Multiply (6 + -5x + x2) * (5 + x)
2(6(5 + x) + -5x * (5 + x) + x2(5 + x)) = 0
2((5 * 6 + x * 6) + -5x * (5 + x) + x2(5 + x)) = 0
2((30 + 6x) + -5x * (5 + x) + x2(5 + x)) = 0
2(30 + 6x + (5 * -5x + x * -5x) + x2(5 + x)) = 0
2(30 + 6x + (-25x + -5x2) + x2(5 + x)) = 0
2(30 + 6x + -25x + -5x2 + (5 * x2 + x * x2)) = 0
2(30 + 6x + -25x + -5x2 + (5x2 + x3)) = 0

Combine like terms: 6x + -25x = -19x
2(30 + -19x + -5x2 + 5x2 + x3) = 0

Combine like terms: -5x2 + 5x2 = 0
2(30 + -19x + 0 + x3) = 0
2(30 + -19x + x3) = 0
(30 * 2 + -19x * 2 + x3 * 2) = 0
(60 + -38x + 2x3) = 0

Solving
60 + -38x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -19x + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(30 + -19x + x3)' equal to zero and attempt to solve: Simplifying 30 + -19x + x3 = 0 Solving 30 + -19x + x3 = 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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