1) (2x+10)(x-1) + 5(x-2) = 2(7+x)Expanding the left side:2x^2 - 2x + 10x - 10 + 5x - 10 = 2(7) + 2(x)Combine like terms:2x^2 + 13x - 20 = 14 + 2xRearrange to standard form:2x^2 + 11x - 34 = 0
2) 1 + 3(2x-4) + (2x-1)(3-2x) = 8Distribute the multiplication:1 + 6x - 12 + 6x - 3 + 4x^2 - 3xCombine like terms:4x^2 + 9x - 14 = 8Rearrange to standard form:4x^2 + 9x - 22 = 0
1) (2x+10)(x-1) + 5(x-2) = 2(7+x)
Expanding the left side:
2x^2 - 2x + 10x - 10 + 5x - 10 = 2(7) + 2(x)
Combine like terms:
2x^2 + 13x - 20 = 14 + 2x
Rearrange to standard form:
2x^2 + 11x - 34 = 0
2) 1 + 3(2x-4) + (2x-1)(3-2x) = 8
Distribute the multiplication:
1 + 6x - 12 + 6x - 3 + 4x^2 - 3x
Combine like terms:
4x^2 + 9x - 14 = 8
Rearrange to standard form:
4x^2 + 9x - 22 = 0