(4x-8)(x-2)-(2x+1)(4x-10)=40

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Solution for (4x-8)(x-2)-(2x+1)(4x-10)=40 equation: 


Simplifying
(4x + -8)(x + -2) + -1(2x + 1)(4x + -10) = 40

Reorder the terms:
(-8 + 4x)(x + -2) + -1(2x + 1)(4x + -10) = 40

Reorder the terms:
(-8 + 4x)(-2 + x) + -1(2x + 1)(4x + -10) = 40

Multiply (-8 + 4x) * (-2 + x)
(-8(-2 + x) + 4x * (-2 + x)) + -1(2x + 1)(4x + -10) = 40
((-2 * -8 + x * -8) + 4x * (-2 + x)) + -1(2x + 1)(4x + -10) = 40
((16 + -8x) + 4x * (-2 + x)) + -1(2x + 1)(4x + -10) = 40
(16 + -8x + (-2 * 4x + x * 4x)) + -1(2x + 1)(4x + -10) = 40
(16 + -8x + (-8x + 4x2)) + -1(2x + 1)(4x + -10) = 40

Combine like terms: -8x + -8x = -16x
(16 + -16x + 4x2) + -1(2x + 1)(4x + -10) = 40

Reorder the terms:
16 + -16x + 4x2 + -1(1 + 2x)(4x + -10) = 40

Reorder the terms:
16 + -16x + 4x2 + -1(1 + 2x)(-10 + 4x) = 40

Multiply (1 + 2x) * (-10 + 4x)
16 + -16x + 4x2 + -1(1(-10 + 4x) + 2x * (-10 + 4x)) = 40
16 + -16x + 4x2 + -1((-10 * 1 + 4x * 1) + 2x * (-10 + 4x)) = 40
16 + -16x + 4x2 + -1((-10 + 4x) + 2x * (-10 + 4x)) = 40
16 + -16x + 4x2 + -1(-10 + 4x + (-10 * 2x + 4x * 2x)) = 40
16 + -16x + 4x2 + -1(-10 + 4x + (-20x + 8x2)) = 40

Combine like terms: 4x + -20x = -16x
16 + -16x + 4x2 + -1(-10 + -16x + 8x2) = 40
16 + -16x + 4x2 + (-10 * -1 + -16x * -1 + 8x2 * -1) = 40
16 + -16x + 4x2 + (10 + 16x + -8x2) = 40

Reorder the terms:
16 + 10 + -16x + 16x + 4x2 + -8x2 = 40

Combine like terms: 16 + 10 = 26
26 + -16x + 16x + 4x2 + -8x2 = 40

Combine like terms: -16x + 16x = 0
26 + 0 + 4x2 + -8x2 = 40
26 + 4x2 + -8x2 = 40

Combine like terms: 4x2 + -8x2 = -4x2
26 + -4x2 = 40

Solving
26 + -4x2 = 40

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -4x2 = 40 + -26

Combine like terms: 26 + -26 = 0
0 + -4x2 = 40 + -26
-4x2 = 40 + -26

Combine like terms: 40 + -26 = 14
-4x2 = 14

Divide each side by '-4'.
x2 = -3.5

Simplifying
x2 = -3.5

Reorder the terms:
3.5 + x2 = -3.5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
3.5 + x2 = 0.0

The solution to this equation could not be determined.

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