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Simplifying (4x + 3)(2x + 1) = (8x + -5)(x + 2) Reorder the terms: (3 + 4x)(2x + 1) = (8x + -5)(x + 2) Reorder the terms: (3 + 4x)(1 + 2x) = (8x + -5)(x + 2) Multiply (3 + 4x) * (1 + 2x) (3(1 + 2x) + 4x * (1 + 2x)) = (8x + -5)(x + 2) ((1 * 3 + 2x * 3) + 4x * (1 + 2x)) = (8x + -5)(x + 2) ((3 + 6x) + 4x * (1 + 2x)) = (8x + -5)(x + 2) (3 + 6x + (1 * 4x + 2x * 4x)) = (8x + -5)(x + 2) (3 + 6x + (4x + 8x2)) = (8x + -5)(x + 2) Combine like terms: 6x + 4x = 10x (3 + 10x + 8x2) = (8x + -5)(x + 2) Reorder the terms: 3 + 10x + 8x2 = (-5 + 8x)(x + 2) Reorder the terms: 3 + 10x + 8x2 = (-5 + 8x)(2 + x) Multiply (-5 + 8x) * (2 + x) 3 + 10x + 8x2 = (-5(2 + x) + 8x * (2 + x)) 3 + 10x + 8x2 = ((2 * -5 + x * -5) + 8x * (2 + x)) 3 + 10x + 8x2 = ((-10 + -5x) + 8x * (2 + x)) 3 + 10x + 8x2 = (-10 + -5x + (2 * 8x + x * 8x)) 3 + 10x + 8x2 = (-10 + -5x + (16x + 8x2)) Combine like terms: -5x + 16x = 11x 3 + 10x + 8x2 = (-10 + 11x + 8x2) Add '-8x2' to each side of the equation. 3 + 10x + 8x2 + -8x2 = -10 + 11x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 3 + 10x + 0 = -10 + 11x + 8x2 + -8x2 3 + 10x = -10 + 11x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 3 + 10x = -10 + 11x + 0 3 + 10x = -10 + 11x Solving 3 + 10x = -10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + 10x + -11x = -10 + 11x + -11x Combine like terms: 10x + -11x = -1x 3 + -1x = -10 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + -1x = -10 + 0 3 + -1x = -10 Add '-3' to each side of the equation. 3 + -3 + -1x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -10 + -3 -1x = -10 + -3 Combine like terms: -10 + -3 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
| 2tan^2x=-3secx | | 5m-6n= | | 11x+10=10x+3 | | 35x=37 | | 8+5(7-1)=8 | | D+43= | | 8=5x-8 | | 0.24(12)+0.04=0.12(6+x) | | 12-7y=20 | | k-5-4=7-3k | | -3(-3-2k)=39+k | | 8x-95=148-x | | Y=800+0.75Y | | -1+14=m-10 | | 3x+3+2x-1=132 | | 13x-2(8-5x)=12-11x | | (4x+7)-(3x-2)= | | x^2-3.2x+1.35=0 | | 2x+9-5x=2(x-7) | | -2x+8=-5x-7 | | 6x+4=6(x+4) | | 5(4x-2)-2(2x-1)=0 | | x-72=3(x-72) | | 0.08(y-9)+0.02y=0.18y-0.03(10) | | 70+70+3d+2+3d+2+20=180 | | x^2+170x-7000=13000 | | 70+20+3d+2+3d+2+3d+2=180 | | 0.7+0.9(0.2-0.8)2= | | 3y^2+30y+48=0 | | (2x)=(4x-40) | | 3d+2+70+20+3d+2=180 | | 3d+2+70=90 |