4(2x-5)(2x-5)(2x-5)+7(2x-5)(2x-5)=0

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Solution for 4(2x-5)(2x-5)(2x-5)+7(2x-5)(2x-5)=0 equation: 


Simplifying
4(2x + -5)(2x + -5)(2x + -5) + 7(2x + -5)(2x + -5) = 0

Reorder the terms:
4(-5 + 2x)(2x + -5)(2x + -5) + 7(2x + -5)(2x + -5) = 0

Reorder the terms:
4(-5 + 2x)(-5 + 2x)(2x + -5) + 7(2x + -5)(2x + -5) = 0

Reorder the terms:
4(-5 + 2x)(-5 + 2x)(-5 + 2x) + 7(2x + -5)(2x + -5) = 0

Multiply (-5 + 2x) * (-5 + 2x)
4(-5(-5 + 2x) + 2x * (-5 + 2x))(-5 + 2x) + 7(2x + -5)(2x + -5) = 0
4((-5 * -5 + 2x * -5) + 2x * (-5 + 2x))(-5 + 2x) + 7(2x + -5)(2x + -5) = 0
4((25 + -10x) + 2x * (-5 + 2x))(-5 + 2x) + 7(2x + -5)(2x + -5) = 0
4(25 + -10x + (-5 * 2x + 2x * 2x))(-5 + 2x) + 7(2x + -5)(2x + -5) = 0
4(25 + -10x + (-10x + 4x2))(-5 + 2x) + 7(2x + -5)(2x + -5) = 0

Combine like terms: -10x + -10x = -20x
4(25 + -20x + 4x2)(-5 + 2x) + 7(2x + -5)(2x + -5) = 0

Multiply (25 + -20x + 4x2) * (-5 + 2x)
4(25(-5 + 2x) + -20x * (-5 + 2x) + 4x2 * (-5 + 2x)) + 7(2x + -5)(2x + -5) = 0
4((-5 * 25 + 2x * 25) + -20x * (-5 + 2x) + 4x2 * (-5 + 2x)) + 7(2x + -5)(2x + -5) = 0
4((-125 + 50x) + -20x * (-5 + 2x) + 4x2 * (-5 + 2x)) + 7(2x + -5)(2x + -5) = 0
4(-125 + 50x + (-5 * -20x + 2x * -20x) + 4x2 * (-5 + 2x)) + 7(2x + -5)(2x + -5) = 0
4(-125 + 50x + (100x + -40x2) + 4x2 * (-5 + 2x)) + 7(2x + -5)(2x + -5) = 0
4(-125 + 50x + 100x + -40x2 + (-5 * 4x2 + 2x * 4x2)) + 7(2x + -5)(2x + -5) = 0
4(-125 + 50x + 100x + -40x2 + (-20x2 + 8x3)) + 7(2x + -5)(2x + -5) = 0

Combine like terms: 50x + 100x = 150x
4(-125 + 150x + -40x2 + -20x2 + 8x3) + 7(2x + -5)(2x + -5) = 0

Combine like terms: -40x2 + -20x2 = -60x2
4(-125 + 150x + -60x2 + 8x3) + 7(2x + -5)(2x + -5) = 0
(-125 * 4 + 150x * 4 + -60x2 * 4 + 8x3 * 4) + 7(2x + -5)(2x + -5) = 0
(-500 + 600x + -240x2 + 32x3) + 7(2x + -5)(2x + -5) = 0

Reorder the terms:
-500 + 600x + -240x2 + 32x3 + 7(-5 + 2x)(2x + -5) = 0

Reorder the terms:
-500 + 600x + -240x2 + 32x3 + 7(-5 + 2x)(-5 + 2x) = 0

Multiply (-5 + 2x) * (-5 + 2x)
-500 + 600x + -240x2 + 32x3 + 7(-5(-5 + 2x) + 2x * (-5 + 2x)) = 0
-500 + 600x + -240x2 + 32x3 + 7((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) = 0
-500 + 600x + -240x2 + 32x3 + 7((25 + -10x) + 2x * (-5 + 2x)) = 0
-500 + 600x + -240x2 + 32x3 + 7(25 + -10x + (-5 * 2x + 2x * 2x)) = 0
-500 + 600x + -240x2 + 32x3 + 7(25 + -10x + (-10x + 4x2)) = 0

Combine like terms: -10x + -10x = -20x
-500 + 600x + -240x2 + 32x3 + 7(25 + -20x + 4x2) = 0
-500 + 600x + -240x2 + 32x3 + (25 * 7 + -20x * 7 + 4x2 * 7) = 0
-500 + 600x + -240x2 + 32x3 + (175 + -140x + 28x2) = 0

Reorder the terms:
-500 + 175 + 600x + -140x + -240x2 + 28x2 + 32x3 = 0

Combine like terms: -500 + 175 = -325
-325 + 600x + -140x + -240x2 + 28x2 + 32x3 = 0

Combine like terms: 600x + -140x = 460x
-325 + 460x + -240x2 + 28x2 + 32x3 = 0

Combine like terms: -240x2 + 28x2 = -212x2
-325 + 460x + -212x2 + 32x3 = 0

Solving
-325 + 460x + -212x2 + 32x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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