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Simplifying 5(y + -5)(y + 6) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) Reorder the terms: 5(-5 + y)(y + 6) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) Reorder the terms: 5(-5 + y)(6 + y) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) Multiply (-5 + y) * (6 + y) 5(-5(6 + y) + y(6 + y)) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) 5((6 * -5 + y * -5) + y(6 + y)) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) 5((-30 + -5y) + y(6 + y)) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) 5(-30 + -5y + (6 * y + y * y)) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) 5(-30 + -5y + (6y + y2)) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) Combine like terms: -5y + 6y = 1y 5(-30 + 1y + y2) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) (-30 * 5 + 1y * 5 + y2 * 5) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) (-150 + 5y + 5y2) + 4(y + 2)(y + 6) = 9(y + 2)(y + -5) Reorder the terms: -150 + 5y + 5y2 + 4(2 + y)(y + 6) = 9(y + 2)(y + -5) Reorder the terms: -150 + 5y + 5y2 + 4(2 + y)(6 + y) = 9(y + 2)(y + -5) Multiply (2 + y) * (6 + y) -150 + 5y + 5y2 + 4(2(6 + y) + y(6 + y)) = 9(y + 2)(y + -5) -150 + 5y + 5y2 + 4((6 * 2 + y * 2) + y(6 + y)) = 9(y + 2)(y + -5) -150 + 5y + 5y2 + 4((12 + 2y) + y(6 + y)) = 9(y + 2)(y + -5) -150 + 5y + 5y2 + 4(12 + 2y + (6 * y + y * y)) = 9(y + 2)(y + -5) -150 + 5y + 5y2 + 4(12 + 2y + (6y + y2)) = 9(y + 2)(y + -5) Combine like terms: 2y + 6y = 8y -150 + 5y + 5y2 + 4(12 + 8y + y2) = 9(y + 2)(y + -5) -150 + 5y + 5y2 + (12 * 4 + 8y * 4 + y2 * 4) = 9(y + 2)(y + -5) -150 + 5y + 5y2 + (48 + 32y + 4y2) = 9(y + 2)(y + -5) Reorder the terms: -150 + 48 + 5y + 32y + 5y2 + 4y2 = 9(y + 2)(y + -5) Combine like terms: -150 + 48 = -102 -102 + 5y + 32y + 5y2 + 4y2 = 9(y + 2)(y + -5) Combine like terms: 5y + 32y = 37y -102 + 37y + 5y2 + 4y2 = 9(y + 2)(y + -5) Combine like terms: 5y2 + 4y2 = 9y2 -102 + 37y + 9y2 = 9(y + 2)(y + -5) Reorder the terms: -102 + 37y + 9y2 = 9(2 + y)(y + -5) Reorder the terms: -102 + 37y + 9y2 = 9(2 + y)(-5 + y) Multiply (2 + y) * (-5 + y) -102 + 37y + 9y2 = 9(2(-5 + y) + y(-5 + y)) -102 + 37y + 9y2 = 9((-5 * 2 + y * 2) + y(-5 + y)) -102 + 37y + 9y2 = 9((-10 + 2y) + y(-5 + y)) -102 + 37y + 9y2 = 9(-10 + 2y + (-5 * y + y * y)) -102 + 37y + 9y2 = 9(-10 + 2y + (-5y + y2)) Combine like terms: 2y + -5y = -3y -102 + 37y + 9y2 = 9(-10 + -3y + y2) -102 + 37y + 9y2 = (-10 * 9 + -3y * 9 + y2 * 9) -102 + 37y + 9y2 = (-90 + -27y + 9y2) Add '-9y2' to each side of the equation. -102 + 37y + 9y2 + -9y2 = -90 + -27y + 9y2 + -9y2 Combine like terms: 9y2 + -9y2 = 0 -102 + 37y + 0 = -90 + -27y + 9y2 + -9y2 -102 + 37y = -90 + -27y + 9y2 + -9y2 Combine like terms: 9y2 + -9y2 = 0 -102 + 37y = -90 + -27y + 0 -102 + 37y = -90 + -27y Solving -102 + 37y = -90 + -27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27y' to each side of the equation. -102 + 37y + 27y = -90 + -27y + 27y Combine like terms: 37y + 27y = 64y -102 + 64y = -90 + -27y + 27y Combine like terms: -27y + 27y = 0 -102 + 64y = -90 + 0 -102 + 64y = -90 Add '102' to each side of the equation. -102 + 102 + 64y = -90 + 102 Combine like terms: -102 + 102 = 0 0 + 64y = -90 + 102 64y = -90 + 102 Combine like terms: -90 + 102 = 12 64y = 12 Divide each side by '64'. y = 0.1875 Simplifying y = 0.1875
| f(x)=50-1.75x | | 2x+2(x+4)=172 | | 5(y-5)(y+6)+(4y+8)(y+6)=9(y+2)(y-5) | | 23+q=8 | | 2x+2(x+5)=118 | | 3x-5.97=-3.00 | | y(x+y+3xy+8yz+w)= | | 0.8=x+0.1 | | 30k(-2)-23k(-1)+2=0 | | 0.666667(3x+6)-3= | | X-3(x+x-16)=56 | | x^2-8x-38=10 | | 2(7x+8)= | | 180*8= | | a+(a-18)=52 | | 112.36=r^2 | | 180*8-360= | | .20x+.70(200)=.40x | | 5-6h=7I+3h | | t-2c+b=16n | | 100+(7-4)*7= | | 2b+5=b+12 | | 175m-100m+43875=45675-150m | | 19.50=2500 | | a+(a-35)=145 | | x^2+15y^2=6000 | | t=r+av | | a+(a+16)=56 | | 150m-125m+38200=40800-175m | | xe-2y=3z | | 3x+6=-1+2 | | a+(a+19)=153 |