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Simplifying 14x2 + 7x + 35 = 0 Reorder the terms: 35 + 7x + 14x2 = 0 Solving 35 + 7x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(5 + x + 2x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(5 + x + 2x2)' equal to zero and attempt to solve: Simplifying 5 + x + 2x2 = 0 Solving 5 + x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + 0.5x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 0.5x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 0.5x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.5x + x2 = 0 + -2.5 0.5x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 0.5x + x2 = -2.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5x + 0.25 + x2 = -2.5 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = -2.5 + 0.25 Combine like terms: -2.5 + 0.25 = -2.25 0.25 + 0.5x + x2 = -2.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.25 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.
| 7x-10+90+3x=180 | | t-9= | | -b+14= | | 2a^3+8a^2-64a= | | (6)=t^2+2t+4 | | Y-4=3(x-2) | | s(6)=t^2+2t+4 | | -119+4x=-11x+106 | | B^4-3b^3-10b^2= | | b+14= | | 25y=430 | | (x+y)2-3xy=18 | | 43+y=22 | | -3x-23=6-4x | | -2x-40=8(1-x) | | 6+2m=30+-10m | | 10(43)+25y=430 | | 15.32-26.69x= | | a^3-5a^2+4a= | | 15a^2+31a-24=0 | | 8x+6y-24=0 | | 4x+5=3(x+1)+7 | | 0.20(y-7)+0.18y=0.14y-0.01(50) | | 10x+25y=430 | | -4y+12=0 | | x+3x-18=180 | | 3x(-1x+6)=18 | | 7a^2-14a-21= | | 2h-6/6=.5 | | 3(x-1)-4=4(1+x)+5 | | (-1x+6)=18 | | -10+5x+49+90=180 |