j(x)=0.05(x-7)(x-3)5(x+1)6

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Solution for j(x)=0.05(x-7)(x-3)5(x+1)6 equation: 


Simplifying
j(x) = 0.05(x + -7)(x + -3) * 5(x + 1) * 6

Multiply j * x
jx = 0.05(x + -7)(x + -3) * 5(x + 1) * 6

Reorder the terms:
jx = 0.05(-7 + x)(x + -3) * 5(x + 1) * 6

Reorder the terms:
jx = 0.05(-7 + x)(-3 + x) * 5(x + 1) * 6

Reorder the terms:
jx = 0.05(-7 + x)(-3 + x) * 5(1 + x) * 6

Reorder the terms for easier multiplication:
jx = 0.05 * 5 * 6(-7 + x)(-3 + x)(1 + x)

Multiply 0.05 * 5
jx = 0.25 * 6(-7 + x)(-3 + x)(1 + x)

Multiply 0.25 * 6
jx = 1.5(-7 + x)(-3 + x)(1 + x)

Multiply (-7 + x) * (-3 + x)
jx = 1.5(-7(-3 + x) + x(-3 + x))(1 + x)
jx = 1.5((-3 * -7 + x * -7) + x(-3 + x))(1 + x)
jx = 1.5((21 + -7x) + x(-3 + x))(1 + x)
jx = 1.5(21 + -7x + (-3 * x + x * x))(1 + x)
jx = 1.5(21 + -7x + (-3x + x2))(1 + x)

Combine like terms: -7x + -3x = -10x
jx = 1.5(21 + -10x + x2)(1 + x)

Multiply (21 + -10x + x2) * (1 + x)
jx = 1.5(21(1 + x) + -10x * (1 + x) + x2(1 + x))
jx = 1.5((1 * 21 + x * 21) + -10x * (1 + x) + x2(1 + x))
jx = 1.5((21 + 21x) + -10x * (1 + x) + x2(1 + x))
jx = 1.5(21 + 21x + (1 * -10x + x * -10x) + x2(1 + x))
jx = 1.5(21 + 21x + (-10x + -10x2) + x2(1 + x))
jx = 1.5(21 + 21x + -10x + -10x2 + (1 * x2 + x * x2))
jx = 1.5(21 + 21x + -10x + -10x2 + (1x2 + x3))

Combine like terms: 21x + -10x = 11x
jx = 1.5(21 + 11x + -10x2 + 1x2 + x3)

Combine like terms: -10x2 + 1x2 = -9x2
jx = 1.5(21 + 11x + -9x2 + x3)
jx = (21 * 1.5 + 11x * 1.5 + -9x2 * 1.5 + x3 * 1.5)
jx = (31.5 + 16.5x + -13.5x2 + 1.5x3)

Solving
jx = 31.5 + 16.5x + -13.5x2 + 1.5x3

Solving for variable 'j'.

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

Divide each side by 'x'.
j = 31.5x-1 + 16.5 + -13.5x + 1.5x2

Simplifying
j = 31.5x-1 + 16.5 + -13.5x + 1.5x2

Reorder the terms:
j = 16.5 + 31.5x-1 + -13.5x + 1.5x2

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