(7+2x)(4-6x)=14-12x^2

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Solution for (7+2x)(4-6x)=14-12x^2 equation: 


Simplifying
(7 + 2x)(4 + -6x) = 14 + -12x2

Multiply (7 + 2x) * (4 + -6x)
(7(4 + -6x) + 2x * (4 + -6x)) = 14 + -12x2
((4 * 7 + -6x * 7) + 2x * (4 + -6x)) = 14 + -12x2
((28 + -42x) + 2x * (4 + -6x)) = 14 + -12x2
(28 + -42x + (4 * 2x + -6x * 2x)) = 14 + -12x2
(28 + -42x + (8x + -12x2)) = 14 + -12x2

Combine like terms: -42x + 8x = -34x
(28 + -34x + -12x2) = 14 + -12x2

Add '12x2' to each side of the equation.
28 + -34x + -12x2 + 12x2 = 14 + -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
28 + -34x + 0 = 14 + -12x2 + 12x2
28 + -34x = 14 + -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
28 + -34x = 14 + 0
28 + -34x = 14

Solving
28 + -34x = 14

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + -34x = 14 + -28

Combine like terms: 28 + -28 = 0
0 + -34x = 14 + -28
-34x = 14 + -28

Combine like terms: 14 + -28 = -14
-34x = -14

Divide each side by '-34'.
x = 0.4117647059

Simplifying
x = 0.4117647059

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