(x+10)(4x+6)-(4x-1)(x+3)=

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Solution for (x+10)(4x+6)-(4x-1)(x+3)= equation: 


Simplifying
(x + 10)(4x + 6) + -1(4x + -1)(x + 3) = 0

Reorder the terms:
(10 + x)(4x + 6) + -1(4x + -1)(x + 3) = 0

Reorder the terms:
(10 + x)(6 + 4x) + -1(4x + -1)(x + 3) = 0

Multiply (10 + x) * (6 + 4x)
(10(6 + 4x) + x(6 + 4x)) + -1(4x + -1)(x + 3) = 0
((6 * 10 + 4x * 10) + x(6 + 4x)) + -1(4x + -1)(x + 3) = 0
((60 + 40x) + x(6 + 4x)) + -1(4x + -1)(x + 3) = 0
(60 + 40x + (6 * x + 4x * x)) + -1(4x + -1)(x + 3) = 0
(60 + 40x + (6x + 4x2)) + -1(4x + -1)(x + 3) = 0

Combine like terms: 40x + 6x = 46x
(60 + 46x + 4x2) + -1(4x + -1)(x + 3) = 0

Reorder the terms:
60 + 46x + 4x2 + -1(-1 + 4x)(x + 3) = 0

Reorder the terms:
60 + 46x + 4x2 + -1(-1 + 4x)(3 + x) = 0

Multiply (-1 + 4x) * (3 + x)
60 + 46x + 4x2 + -1(-1(3 + x) + 4x * (3 + x)) = 0
60 + 46x + 4x2 + -1((3 * -1 + x * -1) + 4x * (3 + x)) = 0
60 + 46x + 4x2 + -1((-3 + -1x) + 4x * (3 + x)) = 0
60 + 46x + 4x2 + -1(-3 + -1x + (3 * 4x + x * 4x)) = 0
60 + 46x + 4x2 + -1(-3 + -1x + (12x + 4x2)) = 0

Combine like terms: -1x + 12x = 11x
60 + 46x + 4x2 + -1(-3 + 11x + 4x2) = 0
60 + 46x + 4x2 + (-3 * -1 + 11x * -1 + 4x2 * -1) = 0
60 + 46x + 4x2 + (3 + -11x + -4x2) = 0

Reorder the terms:
60 + 3 + 46x + -11x + 4x2 + -4x2 = 0

Combine like terms: 60 + 3 = 63
63 + 46x + -11x + 4x2 + -4x2 = 0

Combine like terms: 46x + -11x = 35x
63 + 35x + 4x2 + -4x2 = 0

Combine like terms: 4x2 + -4x2 = 0
63 + 35x + 0 = 0
63 + 35x = 0

Solving
63 + 35x = 0

Solving for variable 'x'.

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

Add '-63' to each side of the equation.
63 + -63 + 35x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + 35x = 0 + -63
35x = 0 + -63

Combine like terms: 0 + -63 = -63
35x = -63

Divide each side by '35'.
x = -1.8

Simplifying
x = -1.8

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