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Simplifying -1(-19z + 1)(-4z + -1) = -3 + 5z + -1(2z + -1)(38z + -4) Reorder the terms: -1(1 + -19z)(-4z + -1) = -3 + 5z + -1(2z + -1)(38z + -4) Reorder the terms: -1(1 + -19z)(-1 + -4z) = -3 + 5z + -1(2z + -1)(38z + -4) Multiply (1 + -19z) * (-1 + -4z) -1(1(-1 + -4z) + -19z * (-1 + -4z)) = -3 + 5z + -1(2z + -1)(38z + -4) -1((-1 * 1 + -4z * 1) + -19z * (-1 + -4z)) = -3 + 5z + -1(2z + -1)(38z + -4) -1((-1 + -4z) + -19z * (-1 + -4z)) = -3 + 5z + -1(2z + -1)(38z + -4) -1(-1 + -4z + (-1 * -19z + -4z * -19z)) = -3 + 5z + -1(2z + -1)(38z + -4) -1(-1 + -4z + (19z + 76z2)) = -3 + 5z + -1(2z + -1)(38z + -4) Combine like terms: -4z + 19z = 15z -1(-1 + 15z + 76z2) = -3 + 5z + -1(2z + -1)(38z + -4) (-1 * -1 + 15z * -1 + 76z2 * -1) = -3 + 5z + -1(2z + -1)(38z + -4) (1 + -15z + -76z2) = -3 + 5z + -1(2z + -1)(38z + -4) Reorder the terms: 1 + -15z + -76z2 = -3 + 5z + -1(-1 + 2z)(38z + -4) Reorder the terms: 1 + -15z + -76z2 = -3 + 5z + -1(-1 + 2z)(-4 + 38z) Multiply (-1 + 2z) * (-4 + 38z) 1 + -15z + -76z2 = -3 + 5z + -1(-1(-4 + 38z) + 2z * (-4 + 38z)) 1 + -15z + -76z2 = -3 + 5z + -1((-4 * -1 + 38z * -1) + 2z * (-4 + 38z)) 1 + -15z + -76z2 = -3 + 5z + -1((4 + -38z) + 2z * (-4 + 38z)) 1 + -15z + -76z2 = -3 + 5z + -1(4 + -38z + (-4 * 2z + 38z * 2z)) 1 + -15z + -76z2 = -3 + 5z + -1(4 + -38z + (-8z + 76z2)) Combine like terms: -38z + -8z = -46z 1 + -15z + -76z2 = -3 + 5z + -1(4 + -46z + 76z2) 1 + -15z + -76z2 = -3 + 5z + (4 * -1 + -46z * -1 + 76z2 * -1) 1 + -15z + -76z2 = -3 + 5z + (-4 + 46z + -76z2) Reorder the terms: 1 + -15z + -76z2 = -3 + -4 + 5z + 46z + -76z2 Combine like terms: -3 + -4 = -7 1 + -15z + -76z2 = -7 + 5z + 46z + -76z2 Combine like terms: 5z + 46z = 51z 1 + -15z + -76z2 = -7 + 51z + -76z2 Add '76z2' to each side of the equation. 1 + -15z + -76z2 + 76z2 = -7 + 51z + -76z2 + 76z2 Combine like terms: -76z2 + 76z2 = 0 1 + -15z + 0 = -7 + 51z + -76z2 + 76z2 1 + -15z = -7 + 51z + -76z2 + 76z2 Combine like terms: -76z2 + 76z2 = 0 1 + -15z = -7 + 51z + 0 1 + -15z = -7 + 51z Solving 1 + -15z = -7 + 51z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-51z' to each side of the equation. 1 + -15z + -51z = -7 + 51z + -51z Combine like terms: -15z + -51z = -66z 1 + -66z = -7 + 51z + -51z Combine like terms: 51z + -51z = 0 1 + -66z = -7 + 0 1 + -66z = -7 Add '-1' to each side of the equation. 1 + -1 + -66z = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -66z = -7 + -1 -66z = -7 + -1 Combine like terms: -7 + -1 = -8 -66z = -8 Divide each side by '-66'. z = 0.1212121212 Simplifying z = 0.1212121212
| 15z-51z(-3z+17)=-3z(-11z-15)-12z(-10z-15) | | (2q+1)/3-(q-1)/4=-2 | | 7/x=1/0.5 | | 8x^2+53x+84=0 | | 15z(-5z+11)-10z=25z(-3z-15) | | 3*(6*7)= | | 7(-18z+13)-20+8z(-19z-20)=2z(-76z-10) | | x²=5x | | 11(-12z-2)-7z=-13(9z+17)+6(-6z-12)-4 | | 14(-10z-10)+15z=9(7z+17)+10+9(6z-15) | | (-4)+(-4)= | | -6b-12=22 | | 18y-13(-5y-18)=-18-18(18y-3)-11(7y+2) | | 3x-17-6(14x+14)=-5+7(-11x+14)-2(-13x-2) | | 39.99+2.50=100 | | 3x-17-6(14x+14)=-5+7 | | 8+3(6z+10)+8(-10z-3)-9z=-4z | | 10(8x-3)-11+10=5x+7x | | -10-12(-6y+3)=3-6y+4y | | -11(4x+5)-8-7-3(10x+3)=-9x+10x | | 8a+9=-5 | | 50=3.0804x^2+52.812x+227.05 | | -3-11+10(4y-3)=-2(-5y+5)+6y | | 50=0.1157x^3+4.9901x^2+62.731x+243.1 | | 26y-(-24y+23)=-(-17y-10)+(24y+25) | | 17z+26z=-29-18+(-25z-23) | | 50=-0.8854x^4-19.363x^3-149.7x^2-460.42x-389.85 | | -8y=-21-(29y+24)+30 | | 1.25x=35+.75x | | -(9x-15)-(27x+20)-10x=-21+6 | | 1.25x=200 | | 35+.75x=125 |