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Simplifying 8x2 + 26x + -24 = 0 Reorder the terms: -24 + 26x + 8x2 = 0 Solving -24 + 26x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 13x + 4x2) = 0 Factor a trinomial. 2((-4 + -1x)(3 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-4, 0.75}
| 47+36= | | -15(2x-1)+3=-7(5x-4) | | 13d+7=9d+15 | | 4(a+6)=40 | | -3.2=2c-6 | | 2(3W-4)+3(5+2w)=0 | | a[x^2+1]=x[a^2+1] | | 8e-6=15.6 | | (2x+4)-(9x-5)= | | 7p=58.1 | | 3x-(4-2x)=5+3(x-2) | | 9(a+7)=144 | | 3(x+6)+4=6x+2 | | 2.6x+13.752=4-2.94x | | 11x+6a=5a-3x | | 0.5x+3.9=0.4x+1.3 | | 11x+6a=5a+3x | | 4x+2=3-2(x+4) | | 2x^3-44x^2+3x-1=0 | | 3(n+4)=19 | | f+f=73.1 | | 3X-4X(3-5X)-2(3X+2)= | | x+x=58 | | 6k-25=4s-12 | | 2X-11X+3= | | sin^2(x)+cot^2(x)xsin^2(x)= | | (2x+4)+(9x-5)= | | 5x+4(x+4)=2(x+22) | | sin^2(x)+cot^2(x)*sin^2(x)= | | sin^2(x)+cot^2(x)sin^2(x)= | | 0.125x-0.495=5.35 | | 39.95+0.10x=99.95 |