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Q: 4x-2 plus 5 equals 2x plus 8?

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4x2 - 2x = 0

No.

4x2 + 12x + 5 = (2x + 1)(2x + 5).

4x2 - 12x + 9 = 5; whence, 2x - 3 = ±√5, and 2x = 3 ±√5. Therefore, x = ½ (3 ±√5).

4x2 + 12x + 5 = 4x2 + 2x + 10x + 5 = 2x(2x+1) + 5(2x+1) = (2x+1)(2x+5)

(2x+5)(2x+5)

(2x+5)(2x+1)

(2x - 5)(2x - 5)

(2x - 1)(2x + 5)

(2x - 5)(2x - 5) or (2x - 5) squared

(2x - 5)(2x - 5) or (2x - 5)2

4x2+20x+25 (2x+5)^2

c = 25 4x2 + 20x + 25 (2x + 5)(2x + 5)

The equation y = 4x^2 + 5 is a parabola

(2x - 1)(2x + 5)

2(2x^2 + 2x - 5)

4x2+2x-20 2x2+x-10 2x2+5x-4x-10 x(2x+5)-2(2x+5) (x-2)(2x+5)

x2+8x = -3x2+5 4x2+8x-5 = 0 (2x+5)(2x-1) = 0 x = -5/2 or x = 1/2

-4x2 + 6x + 40 = 0 ∴ -2x2 + 3x + 20 = 0 ∴ -2x2 - 8x + 5x + 20 = 0 ∴ -2x(x + 4) + 5(x + 4) = 0 ∴ (5 - 2x)(x + 4) = 0 ∴ x ∈ {5/2, -4}

(2x + 5)(2x - 5)

(2x - 5)(2x + 5)

2x + 5 = 13 2x = 8 x = 4

If: y = 4x2-2x-1 and y = -2x2+3x+5 Then the length of the line works out as: 65/18 or 3.6111 ... recurring decimal 1

4(x^2 + 2x - 5)

(2x + 5)(4x2 - 10x + 25)