(2x-3)(3x^2-7x+5)=100

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Solution for (2x-3)(3x^2-7x+5)=100 equation:


Simplifying
(2x + -3)(3x2 + -7x + 5) = 100

Reorder the terms:
(-3 + 2x)(3x2 + -7x + 5) = 100

Reorder the terms:
(-3 + 2x)(5 + -7x + 3x2) = 100

Multiply (-3 + 2x) * (5 + -7x + 3x2)
(-3(5 + -7x + 3x2) + 2x * (5 + -7x + 3x2)) = 100
((5 * -3 + -7x * -3 + 3x2 * -3) + 2x * (5 + -7x + 3x2)) = 100
((-15 + 21x + -9x2) + 2x * (5 + -7x + 3x2)) = 100
(-15 + 21x + -9x2 + (5 * 2x + -7x * 2x + 3x2 * 2x)) = 100
(-15 + 21x + -9x2 + (10x + -14x2 + 6x3)) = 100

Reorder the terms:
(-15 + 21x + 10x + -9x2 + -14x2 + 6x3) = 100

Combine like terms: 21x + 10x = 31x
(-15 + 31x + -9x2 + -14x2 + 6x3) = 100

Combine like terms: -9x2 + -14x2 = -23x2
(-15 + 31x + -23x2 + 6x3) = 100

Solving
-15 + 31x + -23x2 + 6x3 = 100

Solving for variable 'x'.

Reorder the terms:
-15 + -100 + 31x + -23x2 + 6x3 = 100 + -100

Combine like terms: -15 + -100 = -115
-115 + 31x + -23x2 + 6x3 = 100 + -100

Combine like terms: 100 + -100 = 0
-115 + 31x + -23x2 + 6x3 = 0

The solution to this equation could not be determined.

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