(x-4)(3x+2)+2=40-(6x-3)(-4)+3x^2

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Solution for (x-4)(3x+2)+2=40-(6x-3)(-4)+3x^2 equation: 


Simplifying
(x + -4)(3x + 2) + 2 = 40 + -1(6x + -3)(-4) + 3x2

Reorder the terms:
(-4 + x)(3x + 2) + 2 = 40 + -1(6x + -3)(-4) + 3x2

Reorder the terms:
(-4 + x)(2 + 3x) + 2 = 40 + -1(6x + -3)(-4) + 3x2

Multiply (-4 + x) * (2 + 3x)
(-4(2 + 3x) + x(2 + 3x)) + 2 = 40 + -1(6x + -3)(-4) + 3x2
((2 * -4 + 3x * -4) + x(2 + 3x)) + 2 = 40 + -1(6x + -3)(-4) + 3x2
((-8 + -12x) + x(2 + 3x)) + 2 = 40 + -1(6x + -3)(-4) + 3x2
(-8 + -12x + (2 * x + 3x * x)) + 2 = 40 + -1(6x + -3)(-4) + 3x2
(-8 + -12x + (2x + 3x2)) + 2 = 40 + -1(6x + -3)(-4) + 3x2

Combine like terms: -12x + 2x = -10x
(-8 + -10x + 3x2) + 2 = 40 + -1(6x + -3)(-4) + 3x2

Reorder the terms:
-8 + 2 + -10x + 3x2 = 40 + -1(6x + -3)(-4) + 3x2

Combine like terms: -8 + 2 = -6
-6 + -10x + 3x2 = 40 + -1(6x + -3)(-4) + 3x2

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

Reorder the terms for easier multiplication:
-6 + -10x + 3x2 = 40 + -1 * -4(-3 + 6x) + 3x2

Multiply -1 * -4
-6 + -10x + 3x2 = 40 + 4(-3 + 6x) + 3x2
-6 + -10x + 3x2 = 40 + (-3 * 4 + 6x * 4) + 3x2
-6 + -10x + 3x2 = 40 + (-12 + 24x) + 3x2

Combine like terms: 40 + -12 = 28
-6 + -10x + 3x2 = 28 + 24x + 3x2

Add '-3x2' to each side of the equation.
-6 + -10x + 3x2 + -3x2 = 28 + 24x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6 + -10x + 0 = 28 + 24x + 3x2 + -3x2
-6 + -10x = 28 + 24x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6 + -10x = 28 + 24x + 0
-6 + -10x = 28 + 24x

Solving
-6 + -10x = 28 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-6 + -10x + -24x = 28 + 24x + -24x

Combine like terms: -10x + -24x = -34x
-6 + -34x = 28 + 24x + -24x

Combine like terms: 24x + -24x = 0
-6 + -34x = 28 + 0
-6 + -34x = 28

Add '6' to each side of the equation.
-6 + 6 + -34x = 28 + 6

Combine like terms: -6 + 6 = 0
0 + -34x = 28 + 6
-34x = 28 + 6

Combine like terms: 28 + 6 = 34
-34x = 34

Divide each side by '-34'.
x = -1

Simplifying
x = -1

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