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Simplifying x(2x + -3) + x(3x + -2) = (5x + 6)(x + -1) Reorder the terms: x(-3 + 2x) + x(3x + -2) = (5x + 6)(x + -1) (-3 * x + 2x * x) + x(3x + -2) = (5x + 6)(x + -1) (-3x + 2x2) + x(3x + -2) = (5x + 6)(x + -1) Reorder the terms: -3x + 2x2 + x(-2 + 3x) = (5x + 6)(x + -1) -3x + 2x2 + (-2 * x + 3x * x) = (5x + 6)(x + -1) -3x + 2x2 + (-2x + 3x2) = (5x + 6)(x + -1) Reorder the terms: -3x + -2x + 2x2 + 3x2 = (5x + 6)(x + -1) Combine like terms: -3x + -2x = -5x -5x + 2x2 + 3x2 = (5x + 6)(x + -1) Combine like terms: 2x2 + 3x2 = 5x2 -5x + 5x2 = (5x + 6)(x + -1) Reorder the terms: -5x + 5x2 = (6 + 5x)(x + -1) Reorder the terms: -5x + 5x2 = (6 + 5x)(-1 + x) Multiply (6 + 5x) * (-1 + x) -5x + 5x2 = (6(-1 + x) + 5x * (-1 + x)) -5x + 5x2 = ((-1 * 6 + x * 6) + 5x * (-1 + x)) -5x + 5x2 = ((-6 + 6x) + 5x * (-1 + x)) -5x + 5x2 = (-6 + 6x + (-1 * 5x + x * 5x)) -5x + 5x2 = (-6 + 6x + (-5x + 5x2)) Combine like terms: 6x + -5x = 1x -5x + 5x2 = (-6 + 1x + 5x2) Add '-5x2' to each side of the equation. -5x + 5x2 + -5x2 = -6 + 1x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5x + 0 = -6 + 1x + 5x2 + -5x2 -5x = -6 + 1x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5x = -6 + 1x + 0 -5x = -6 + 1x Solving -5x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5x + -1x = -6 + 1x + -1x Combine like terms: -5x + -1x = -6x -6x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -6x = -6 + 0 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
| (y/14)/(11/14) | | (Z-2)+5=10 | | 6t-9=4t-3 | | 5s=50+1-2s | | 8-6x=4x+2 | | (4/7)/(4/5) | | 18x=58.4 | | -720=1x-9x | | 5(3m+3)= | | -1/2n=n-1 | | (23/25)/(19/5) | | 1/4a=-7 | | 23/25/19/5 | | -.12p-.06(6-3p)=.02(p-3)-.22 | | 18y=15 | | w^2+5w-176=0 | | 6+(2+8)= | | 6y-11=15 | | -5-8m=-6m+5 | | 180=25x-10+15x+2+28 | | (1/2x+1/4)-(x-1/2)-(-1/3x-3/4)=5/6 | | 2/3x=7/2 | | 3x+18=-2+11x-21 | | .002(2-k)+.01(k-6)=1 | | 3h/2=5 | | 10x(x-2)=5-(x+4) | | (14-2y)+2y=11 | | (8+y)+(y+9)=27 | | 6x-8=12x+16 | | 2x+3x+z= | | 1.5=15.75 | | 0.2666666667dn+6=.25n-3 |