(x-20)[(x-5)(x+26)-150]+3[-32(x+26)-800]-30[96+16(x-5)]=0

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Solution for (x-20)[(x-5)(x+26)-150]+3[-32(x+26)-800]-30[96+16(x-5)]=0 equation: 


Simplifying
(x + -20)[(x + -5)(x + 26) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Reorder the terms:
(-20 + x)[(x + -5)(x + 26) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Reorder the terms:
(-20 + x)[(-5 + x)(x + 26) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Reorder the terms:
(-20 + x)[(-5 + x)(26 + x) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Multiply (-5 + x) * (26 + x)
(-20 + x)[(-5(26 + x) + x(26 + x)) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0
(-20 + x)[((26 * -5 + x * -5) + x(26 + x)) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0
(-20 + x)[((-130 + -5x) + x(26 + x)) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0
(-20 + x)[(-130 + -5x + (26 * x + x * x)) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0
(-20 + x)[(-130 + -5x + (26x + x2)) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Combine like terms: -5x + 26x = 21x
(-20 + x)[(-130 + 21x + x2) + -150] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Reorder the terms:
(-20 + x)[-130 + -150 + 21x + x2] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Combine like terms: -130 + -150 = -280
(-20 + x)[-280 + 21x + x2] + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Multiply (-20 + x) * [-280 + 21x + x2]
(-20[-280 + 21x + x2] + x[-280 + 21x + x2]) + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0
([-280 * -20 + 21x * -20 + x2 * -20] + x[-280 + 21x + x2]) + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0
([5600 + -420x + -20x2] + x[-280 + 21x + x2]) + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0
(5600 + -420x + -20x2 + [-280 * x + 21x * x + x2 * x]) + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0
(5600 + -420x + -20x2 + [-280x + 21x2 + x3]) + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Reorder the terms:
(5600 + -420x + -280x + -20x2 + 21x2 + x3) + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Combine like terms: -420x + -280x = -700x
(5600 + -700x + -20x2 + 21x2 + x3) + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Combine like terms: -20x2 + 21x2 = 1x2
(5600 + -700x + 1x2 + x3) + 3[-32(x + 26) + -800] + -30[96 + 16(x + -5)] = 0

Reorder the terms:
5600 + -700x + 1x2 + x3 + 3[-32(26 + x) + -800] + -30[96 + 16(x + -5)] = 0
5600 + -700x + 1x2 + x3 + 3[(26 * -32 + x * -32) + -800] + -30[96 + 16(x + -5)] = 0
5600 + -700x + 1x2 + x3 + 3[(-832 + -32x) + -800] + -30[96 + 16(x + -5)] = 0

Reorder the terms:
5600 + -700x + 1x2 + x3 + 3[-832 + -800 + -32x] + -30[96 + 16(x + -5)] = 0

Combine like terms: -832 + -800 = -1632
5600 + -700x + 1x2 + x3 + 3[-1632 + -32x] + -30[96 + 16(x + -5)] = 0
5600 + -700x + 1x2 + x3 + [-1632 * 3 + -32x * 3] + -30[96 + 16(x + -5)] = 0
5600 + -700x + 1x2 + x3 + [-4896 + -96x] + -30[96 + 16(x + -5)] = 0

Reorder the terms:
5600 + -700x + 1x2 + x3 + -4896 + -96x + -30[96 + 16(-5 + x)] = 0
5600 + -700x + 1x2 + x3 + -4896 + -96x + -30[96 + (-5 * 16 + x * 16)] = 0
5600 + -700x + 1x2 + x3 + -4896 + -96x + -30[96 + (-80 + 16x)] = 0

Combine like terms: 96 + -80 = 16
5600 + -700x + 1x2 + x3 + -4896 + -96x + -30[16 + 16x] = 0
5600 + -700x + 1x2 + x3 + -4896 + -96x + [16 * -30 + 16x * -30] = 0
5600 + -700x + 1x2 + x3 + -4896 + -96x + [-480 + -480x] = 0

Reorder the terms:
5600 + -4896 + -480 + -700x + -96x + -480x + 1x2 + x3 = 0

Combine like terms: 5600 + -4896 = 704
704 + -480 + -700x + -96x + -480x + 1x2 + x3 = 0

Combine like terms: 704 + -480 = 224
224 + -700x + -96x + -480x + 1x2 + x3 = 0

Combine like terms: -700x + -96x = -796x
224 + -796x + -480x + 1x2 + x3 = 0

Combine like terms: -796x + -480x = -1276x
224 + -1276x + 1x2 + x3 = 0

Solving
224 + -1276x + 1x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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