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Simplifying 50x3 + 90x2 + 28x = 0 Reorder the terms: 28x + 90x2 + 50x3 = 0 Solving 28x + 90x2 + 50x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(14 + 45x + 25x2) = 0 Factor a trinomial. 2x((7 + 5x)(2 + 5x)) = 0 Ignore the factor 2.Subproblem 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 '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Subproblem 3
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {0, -1.4, -0.4}
| 2x-0=8 | | (5/6)h-(2/12)=(3/4)h-13/6 | | 6=3x+6(-x-3) | | (3x-2)-(x+6)= | | 40/100=x/168 | | 3r-18=-18 | | 1.4-n=-6.3 | | -5(-5x+3)=11x+55 | | 9+1.5x=-3+3x | | 16x-24=8(2x-3) | | 16=14+2r | | 40/100=168/x | | -36=9(8-x) | | 2+12/2-2 | | 7w-2(2)+w(2)=60 | | -2x-3+8=3(3x+5) | | 2x-5x^1/2+2=0 | | 3y+2(3)=-5 | | 2(2x+96)=2(3x+80) | | 30-3c=9 | | 7x^2-4=48 | | 4x-17x^1/2+15=0 | | 4f+12=2f+24 | | 15t-9-8t=5 | | x+.40=168 | | 5/6h-3/4h=-13/6+2/12 | | 0.4x-0.3(30+x)=-0.2(30) | | -2(4x+9)=-8x-18 | | 8.77xy=8.00 | | x+7x-8=8 | | (3x-9)(x+4)=0 | | 4y+228=52 |