(4x-7)2+4(4x-7)-12=0

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Solution for (4x-7)2+4(4x-7)-12=0 equation:


Simplifying
(4x + -7) * 2 + 4(4x + -7) + -12 = 0

Reorder the terms:
(-7 + 4x) * 2 + 4(4x + -7) + -12 = 0

Reorder the terms for easier multiplication:
2(-7 + 4x) + 4(4x + -7) + -12 = 0
(-7 * 2 + 4x * 2) + 4(4x + -7) + -12 = 0
(-14 + 8x) + 4(4x + -7) + -12 = 0

Reorder the terms:
-14 + 8x + 4(-7 + 4x) + -12 = 0
-14 + 8x + (-7 * 4 + 4x * 4) + -12 = 0
-14 + 8x + (-28 + 16x) + -12 = 0

Reorder the terms:
-14 + -28 + -12 + 8x + 16x = 0

Combine like terms: -14 + -28 = -42
-42 + -12 + 8x + 16x = 0

Combine like terms: -42 + -12 = -54
-54 + 8x + 16x = 0

Combine like terms: 8x + 16x = 24x
-54 + 24x = 0

Solving
-54 + 24x = 0

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 24x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 24x = 0 + 54
24x = 0 + 54

Combine like terms: 0 + 54 = 54
24x = 54

Divide each side by '24'.
x = 2.25

Simplifying
x = 2.25

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