Question

Solve the equation 2x2 + 14x – 6 = x2 + 7x to the nearest tenth.

Answer 1

Simplifying

6x + -2 + 2x = -2 + 4x +8

Reorder the terms:
-2 + 6x + 2x = -2 + 4x + 8

Combine like terms: 6x + 2x = 8x
-2 + 8x = -2 + 4x + 8

Reorder the terms:
-2 + 8x = -2 + 8 + 4x

Combine like terms: -2 + 8 = 6
-2 + 8x = 6 + 4x

Solving
-2 + 8x = 6 + 4x

Add '-4x' to each side of the equation.
-2 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-2 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 4x = 6 + 0
-2 + 4x = 6

Add '2' to each side of the equation.
-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 6 + 2
4x = 6 + 2

Combine like terms: 6 + 2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2


But round to tenth? For 2 would be 0? My hand hurts now sorry if it’s incorrect