Let's simplify this equation:
7x^2 + 14x + 8 = 2x + 8*49x
7x^2 + 14x + 8 = 2x + 392x
7x^2 + 14x + 8 = 394x
Rearranging the terms:
7x^2 + 14x - 394x + 8 = 0
Combine like terms:
7x^2 - 380x + 8 = 0
This equation is not easily factorable, so we can use the quadratic formula to find the roots.
The formula is: x = (-b ± √(b^2 - 4ac)) / 2a
where a = 7, b = -380, and c = 8
Plugging in the values:
x = (380 ± √((-380)^2 - 478)) / 2*7x = (380 ± √(144400 - 224)) / 14x = (380 ± √144176) / 14x = (380 ± 380.15) / 14
The roots are:x = (380 + 380.15) / 14 ≈ 54.31x = (380 - 380.15) / 14 ≈ -0.01
Therefore, the solutions to the equation are approximately x = 54.31 and x = -0.01.
Let's simplify this equation:
7x^2 + 14x + 8 = 2x + 8*49x
7x^2 + 14x + 8 = 2x + 392x
7x^2 + 14x + 8 = 394x
Rearranging the terms:
7x^2 + 14x - 394x + 8 = 0
Combine like terms:
7x^2 - 380x + 8 = 0
This equation is not easily factorable, so we can use the quadratic formula to find the roots.
The formula is: x = (-b ± √(b^2 - 4ac)) / 2a
where a = 7, b = -380, and c = 8
Plugging in the values:
x = (380 ± √((-380)^2 - 478)) / 2*7
x = (380 ± √(144400 - 224)) / 14
x = (380 ± √144176) / 14
x = (380 ± 380.15) / 14
The roots are:
x = (380 + 380.15) / 14 ≈ 54.31
x = (380 - 380.15) / 14 ≈ -0.01
Therefore, the solutions to the equation are approximately x = 54.31 and x = -0.01.