(x-4)(x-7)(2x+1)=180

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Solution for (x-4)(x-7)(2x+1)=180 equation: 


Simplifying
(x + -4)(x + -7)(2x + 1) = 180

Reorder the terms:
(-4 + x)(x + -7)(2x + 1) = 180

Reorder the terms:
(-4 + x)(-7 + x)(2x + 1) = 180

Reorder the terms:
(-4 + x)(-7 + x)(1 + 2x) = 180

Multiply (-4 + x) * (-7 + x)
(-4(-7 + x) + x(-7 + x))(1 + 2x) = 180
((-7 * -4 + x * -4) + x(-7 + x))(1 + 2x) = 180
((28 + -4x) + x(-7 + x))(1 + 2x) = 180
(28 + -4x + (-7 * x + x * x))(1 + 2x) = 180
(28 + -4x + (-7x + x2))(1 + 2x) = 180

Combine like terms: -4x + -7x = -11x
(28 + -11x + x2)(1 + 2x) = 180

Multiply (28 + -11x + x2) * (1 + 2x)
(28(1 + 2x) + -11x * (1 + 2x) + x2(1 + 2x)) = 180
((1 * 28 + 2x * 28) + -11x * (1 + 2x) + x2(1 + 2x)) = 180
((28 + 56x) + -11x * (1 + 2x) + x2(1 + 2x)) = 180
(28 + 56x + (1 * -11x + 2x * -11x) + x2(1 + 2x)) = 180
(28 + 56x + (-11x + -22x2) + x2(1 + 2x)) = 180
(28 + 56x + -11x + -22x2 + (1 * x2 + 2x * x2)) = 180
(28 + 56x + -11x + -22x2 + (1x2 + 2x3)) = 180

Combine like terms: 56x + -11x = 45x
(28 + 45x + -22x2 + 1x2 + 2x3) = 180

Combine like terms: -22x2 + 1x2 = -21x2
(28 + 45x + -21x2 + 2x3) = 180

Solving
28 + 45x + -21x2 + 2x3 = 180

Solving for variable 'x'.

Reorder the terms:
28 + -180 + 45x + -21x2 + 2x3 = 180 + -180

Combine like terms: 28 + -180 = -152
-152 + 45x + -21x2 + 2x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-152 + 45x + -21x2 + 2x3 = 0

The solution to this equation could not be determined.

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