(5x^2-3x+2)(-3-8x)+(1-3x-4x^2)(10x-3)=

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Solution for (5x^2-3x+2)(-3-8x)+(1-3x-4x^2)(10x-3)= equation:


Simplifying
(5x2 + -3x + 2)(-3 + -8x) + (1 + -3x + -4x2)(10x + -3) = 0

Reorder the terms:
(2 + -3x + 5x2)(-3 + -8x) + (1 + -3x + -4x2)(10x + -3) = 0

Multiply (2 + -3x + 5x2) * (-3 + -8x)
(2(-3 + -8x) + -3x * (-3 + -8x) + 5x2 * (-3 + -8x)) + (1 + -3x + -4x2)(10x + -3) = 0
((-3 * 2 + -8x * 2) + -3x * (-3 + -8x) + 5x2 * (-3 + -8x)) + (1 + -3x + -4x2)(10x + -3) = 0
((-6 + -16x) + -3x * (-3 + -8x) + 5x2 * (-3 + -8x)) + (1 + -3x + -4x2)(10x + -3) = 0
(-6 + -16x + (-3 * -3x + -8x * -3x) + 5x2 * (-3 + -8x)) + (1 + -3x + -4x2)(10x + -3) = 0
(-6 + -16x + (9x + 24x2) + 5x2 * (-3 + -8x)) + (1 + -3x + -4x2)(10x + -3) = 0
(-6 + -16x + 9x + 24x2 + (-3 * 5x2 + -8x * 5x2)) + (1 + -3x + -4x2)(10x + -3) = 0
(-6 + -16x + 9x + 24x2 + (-15x2 + -40x3)) + (1 + -3x + -4x2)(10x + -3) = 0

Combine like terms: -16x + 9x = -7x
(-6 + -7x + 24x2 + -15x2 + -40x3) + (1 + -3x + -4x2)(10x + -3) = 0

Combine like terms: 24x2 + -15x2 = 9x2
(-6 + -7x + 9x2 + -40x3) + (1 + -3x + -4x2)(10x + -3) = 0

Reorder the terms:
-6 + -7x + 9x2 + -40x3 + (1 + -3x + -4x2)(-3 + 10x) = 0

Multiply (1 + -3x + -4x2) * (-3 + 10x)
-6 + -7x + 9x2 + -40x3 + (1(-3 + 10x) + -3x * (-3 + 10x) + -4x2 * (-3 + 10x)) = 0
-6 + -7x + 9x2 + -40x3 + ((-3 * 1 + 10x * 1) + -3x * (-3 + 10x) + -4x2 * (-3 + 10x)) = 0
-6 + -7x + 9x2 + -40x3 + ((-3 + 10x) + -3x * (-3 + 10x) + -4x2 * (-3 + 10x)) = 0
-6 + -7x + 9x2 + -40x3 + (-3 + 10x + (-3 * -3x + 10x * -3x) + -4x2 * (-3 + 10x)) = 0
-6 + -7x + 9x2 + -40x3 + (-3 + 10x + (9x + -30x2) + -4x2 * (-3 + 10x)) = 0
-6 + -7x + 9x2 + -40x3 + (-3 + 10x + 9x + -30x2 + (-3 * -4x2 + 10x * -4x2)) = 0
-6 + -7x + 9x2 + -40x3 + (-3 + 10x + 9x + -30x2 + (12x2 + -40x3)) = 0

Combine like terms: 10x + 9x = 19x
-6 + -7x + 9x2 + -40x3 + (-3 + 19x + -30x2 + 12x2 + -40x3) = 0

Combine like terms: -30x2 + 12x2 = -18x2
-6 + -7x + 9x2 + -40x3 + (-3 + 19x + -18x2 + -40x3) = 0

Reorder the terms:
-6 + -3 + -7x + 19x + 9x2 + -18x2 + -40x3 + -40x3 = 0

Combine like terms: -6 + -3 = -9
-9 + -7x + 19x + 9x2 + -18x2 + -40x3 + -40x3 = 0

Combine like terms: -7x + 19x = 12x
-9 + 12x + 9x2 + -18x2 + -40x3 + -40x3 = 0

Combine like terms: 9x2 + -18x2 = -9x2
-9 + 12x + -9x2 + -40x3 + -40x3 = 0

Combine like terms: -40x3 + -40x3 = -80x3
-9 + 12x + -9x2 + -80x3 = 0

Solving
-9 + 12x + -9x2 + -80x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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