10=a(x+3)(x+0)(x-4)

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Solution for 10=a(x+3)(x+0)(x-4) equation:


Simplifying
10 = a(x + 3)(x + 0)(x + -4)

Reorder the terms:
10 = a(3 + x)(x + 0)(x + -4)

Reorder the terms:
10 = a(3 + x)(0 + x)(x + -4)
Remove the zero:
10 = a(3 + x)(x)(x + -4)

Reorder the terms:
10 = a(3 + x) * x(-4 + x)

Reorder the terms for easier multiplication:
10 = a * x(3 + x)(-4 + x)

Multiply a * x
10 = ax(3 + x)(-4 + x)

Multiply (3 + x) * (-4 + x)
10 = ax(3(-4 + x) + x(-4 + x))
10 = ax((-4 * 3 + x * 3) + x(-4 + x))
10 = ax((-12 + 3x) + x(-4 + x))
10 = ax(-12 + 3x + (-4 * x + x * x))
10 = ax(-12 + 3x + (-4x + x2))

Combine like terms: 3x + -4x = -1x
10 = ax(-12 + -1x + x2)
10 = (-12 * ax + -1x * ax + x2 * ax)
10 = (-12ax + -1ax2 + ax3)

Solving
10 = -12ax + -1ax2 + ax3

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '12ax' to each side of the equation.
10 + 12ax = -12ax + -1ax2 + 12ax + ax3

Reorder the terms:
10 + 12ax = -12ax + 12ax + -1ax2 + ax3

Combine like terms: -12ax + 12ax = 0
10 + 12ax = 0 + -1ax2 + ax3
10 + 12ax = -1ax2 + ax3

Add 'ax2' to each side of the equation.
10 + 12ax + ax2 = -1ax2 + ax2 + ax3

Combine like terms: -1ax2 + ax2 = 0
10 + 12ax + ax2 = 0 + ax3
10 + 12ax + ax2 = ax3

Add '-1ax3' to each side of the equation.
10 + 12ax + ax2 + -1ax3 = ax3 + -1ax3

Combine like terms: ax3 + -1ax3 = 0
10 + 12ax + ax2 + -1ax3 = 0

Add '-10' to each side of the equation.
10 + 12ax + ax2 + -10 + -1ax3 = 0 + -10

Reorder the terms:
10 + -10 + 12ax + ax2 + -1ax3 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 12ax + ax2 + -1ax3 = 0 + -10
12ax + ax2 + -1ax3 = 0 + -10

Combine like terms: 0 + -10 = -10
12ax + ax2 + -1ax3 = -10

Reorder the terms:
10 + 12ax + ax2 + -1ax3 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + 12ax + ax2 + -1ax3 = 0

The solution to this equation could not be determined.

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