(4x-1)(2x+7)=8x^2-15x+6

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Solution for (4x-1)(2x+7)=8x^2-15x+6 equation:


Simplifying
(4x + -1)(2x + 7) = 8x2 + -15x + 6

Reorder the terms:
(-1 + 4x)(2x + 7) = 8x2 + -15x + 6

Reorder the terms:
(-1 + 4x)(7 + 2x) = 8x2 + -15x + 6

Multiply (-1 + 4x) * (7 + 2x)
(-1(7 + 2x) + 4x * (7 + 2x)) = 8x2 + -15x + 6
((7 * -1 + 2x * -1) + 4x * (7 + 2x)) = 8x2 + -15x + 6
((-7 + -2x) + 4x * (7 + 2x)) = 8x2 + -15x + 6
(-7 + -2x + (7 * 4x + 2x * 4x)) = 8x2 + -15x + 6
(-7 + -2x + (28x + 8x2)) = 8x2 + -15x + 6

Combine like terms: -2x + 28x = 26x
(-7 + 26x + 8x2) = 8x2 + -15x + 6

Reorder the terms:
-7 + 26x + 8x2 = 6 + -15x + 8x2

Add '-8x2' to each side of the equation.
-7 + 26x + 8x2 + -8x2 = 6 + -15x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-7 + 26x + 0 = 6 + -15x + 8x2 + -8x2
-7 + 26x = 6 + -15x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-7 + 26x = 6 + -15x + 0
-7 + 26x = 6 + -15x

Solving
-7 + 26x = 6 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-7 + 26x + 15x = 6 + -15x + 15x

Combine like terms: 26x + 15x = 41x
-7 + 41x = 6 + -15x + 15x

Combine like terms: -15x + 15x = 0
-7 + 41x = 6 + 0
-7 + 41x = 6

Add '7' to each side of the equation.
-7 + 7 + 41x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 41x = 6 + 7
41x = 6 + 7

Combine like terms: 6 + 7 = 13
41x = 13

Divide each side by '41'.
x = 0.3170731707

Simplifying
x = 0.3170731707

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