4(x+7)+(2x+4)(2x-1)=10x+24

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Solution for 4(x+7)+(2x+4)(2x-1)=10x+24 equation: 


Simplifying
4(x + 7) + (2x + 4)(2x + -1) = 10x + 24

Reorder the terms:
4(7 + x) + (2x + 4)(2x + -1) = 10x + 24
(7 * 4 + x * 4) + (2x + 4)(2x + -1) = 10x + 24
(28 + 4x) + (2x + 4)(2x + -1) = 10x + 24

Reorder the terms:
28 + 4x + (4 + 2x)(2x + -1) = 10x + 24

Reorder the terms:
28 + 4x + (4 + 2x)(-1 + 2x) = 10x + 24

Multiply (4 + 2x) * (-1 + 2x)
28 + 4x + (4(-1 + 2x) + 2x * (-1 + 2x)) = 10x + 24
28 + 4x + ((-1 * 4 + 2x * 4) + 2x * (-1 + 2x)) = 10x + 24
28 + 4x + ((-4 + 8x) + 2x * (-1 + 2x)) = 10x + 24
28 + 4x + (-4 + 8x + (-1 * 2x + 2x * 2x)) = 10x + 24
28 + 4x + (-4 + 8x + (-2x + 4x2)) = 10x + 24

Combine like terms: 8x + -2x = 6x
28 + 4x + (-4 + 6x + 4x2) = 10x + 24

Reorder the terms:
28 + -4 + 4x + 6x + 4x2 = 10x + 24

Combine like terms: 28 + -4 = 24
24 + 4x + 6x + 4x2 = 10x + 24

Combine like terms: 4x + 6x = 10x
24 + 10x + 4x2 = 10x + 24

Reorder the terms:
24 + 10x + 4x2 = 24 + 10x

Add '-24' to each side of the equation.
24 + 10x + -24 + 4x2 = 24 + -24 + 10x

Reorder the terms:
24 + -24 + 10x + 4x2 = 24 + -24 + 10x

Combine like terms: 24 + -24 = 0
0 + 10x + 4x2 = 24 + -24 + 10x
10x + 4x2 = 24 + -24 + 10x

Combine like terms: 24 + -24 = 0
10x + 4x2 = 0 + 10x
10x + 4x2 = 10x

Add '-10x' to each side of the equation.
10x + -10x + 4x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
0 + 4x2 = 10x + -10x
4x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
4x2 = 0

Solving
4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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