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Simplifying -3x2 + 10x = 8 Reorder the terms: 10x + -3x2 = 8 Solving 10x + -3x2 = 8 Solving for variable 'x'. Reorder the terms: -8 + 10x + -3x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 10x + -3x2 = 0 Factor a trinomial. (-2 + x)(4 + -3x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {2, 1.333333333}
| 2/9*1/3 | | 10=4(3+b/2) | | 5/1*9/4 | | 4(3+2/2) | | 4(3+17/2) | | 5/1*4/9 | | 2/1*4/3 | | -3x^2-8x+10=0 | | 3/8*7/6 | | x^2+x+6= | | 3/5*6/1 | | 3/5*1/6 | | 36=9x(3x-18) | | 1/2*4/3 | | 2/1*5/4 | | 2/1*17/4 | | 3/5*2/1 | | 3/5*1/2 | | 5(x-3)-2=23 | | x^3-14x^2+6x+192=0 | | 12-x+2=3x-10+14x | | 2/2*23/4 | | 2/1*4/23 | | 75+15x= | | p(x)=x^2+8x+16 | | 5/6*36/1 | | 2l+2w-1/3=48 | | 4/5*3/20 | | 4/5*40/1 | | 5/7*3/35 | | 5/32*8/25 | | 2l+2w=48 |