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Simplifying 12x2 + -28x + 1000 = 0 Reorder the terms: 1000 + -28x + 12x2 = 0 Solving 1000 + -28x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(250 + -7x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(250 + -7x + 3x2)' equal to zero and attempt to solve: Simplifying 250 + -7x + 3x2 = 0 Solving 250 + -7x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 83.33333333 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-83.33333333' to each side of the equation. 83.33333333 + -2.333333333x + -83.33333333 + x2 = 0 + -83.33333333 Reorder the terms: 83.33333333 + -83.33333333 + -2.333333333x + x2 = 0 + -83.33333333 Combine like terms: 83.33333333 + -83.33333333 = 0.00000000 0.00000000 + -2.333333333x + x2 = 0 + -83.33333333 -2.333333333x + x2 = 0 + -83.33333333 Combine like terms: 0 + -83.33333333 = -83.33333333 -2.333333333x + x2 = -83.33333333 The x term is -2.333333333x. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333x + 1.361111112 + x2 = -83.33333333 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -83.33333333 + 1.361111112 Combine like terms: -83.33333333 + 1.361111112 = -81.972222218 1.361111112 + -2.333333333x + x2 = -81.972222218 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -81.972222218 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
| 3x+y+2y=1 | | 3(2-y)=19 | | 6x-11=2/3x-7/3 | | 1+8x-6=11 | | Z=4x-9 | | 3(x+1)=5(x-1)forx | | 10-4y=11 | | 3p-7=2p+1+1 | | 6.98x+9=48.7204+3x | | n(2n+k)-n-1(2n-1+k)=4n+3 | | x^2-8y+33y= | | 4/3x-12=2/3w | | 56=7(x-3) | | 7(7X+4)=2(3X+14) | | -6x+18=-6 | | 5x-16=10x+11 | | 2c+3=35 | | 864=1/2x64 | | 6y+4=4y+14 | | 3x-6=5x+7 | | 5/2y=2(y+5) | | 864=1/2x8^2 | | 5.52x+5.52=11.04 | | 3.24x+100=10.4976+10x | | 8+11x=32+x | | 6(n+16)-2(15-p)+12n= | | 2p-30=-4+6 | | https://content.thinkthroughmath.com/uploads/image/image/301284/G58L804Q20449S-e42e4141545c908285b755da9f5644be.png | | 0=4x^2+3x-36 | | 4(3n-2)=16 | | 1-2x=2(1-x) | | 4500/60 |
