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Simplifying 8x(x2) + 11x2 + -10x = 0 Multiply x * x2 8x3 + 11x2 + -10x = 0 Reorder the terms: -10x + 11x2 + 8x3 = 0 Solving -10x + 11x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-10 + 11x + 8x2) = 0 Factor a trinomial. x((-2 + -1x)(5 + -8x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 3
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {0, -2, 0.625}
| 3(2a+5c)-2(4a-6c)= | | 8.50x+15=49 | | 2x-8+x+50=87 | | 3.8+1.2z-(5.7y+7.5z)= | | (x-7)-(x+88)=5 | | 4x-5=4x+8 | | 0.2x+1=2-0.5x | | (y+3)(2y-10)=0 | | 0=-4(y+7) | | -48=6x-6 | | x^2+(2sqrt(5)x)+5=0 | | 2x-8+87=x+50 | | 6+(-16)= | | 2.4(x-6)=5.6x+8 | | 3(x-5)+2(2x-4)=x-1 | | y-61/4=121/4 | | 3x+9y=12z | | v/20=u | | 2a^2+15a+28=0 | | 2x-3y=10y-6x | | 4x=19x+5 | | (4x+3)(x+8)= | | 1/4+7/6 | | -5(r+6)=-58 | | 2x+3y/2+y/2 | | y=-8/9X+9/10 | | u=v/20 | | 2x-3x=10y-6x | | ((2)/(2x+5))+((3)/(2x-5))=((10x+5)/(4x^2-25)) | | 1w+wh+1h=a | | (5-4x)(3-2x)= | | 9/4+4m/7=83/28 |