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Simplifying 5x2 + 3x + 6 = 0 Reorder the terms: 6 + 3x + 5x2 = 0 Solving 6 + 3x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.2 + 0.6x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + 0.6x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + 0.6x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.6x + x2 = 0 + -1.2 0.6x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 0.6x + x2 = -1.2 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -1.2 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -1.2 + 0.09 Combine like terms: -1.2 + 0.09 = -1.11 0.09 + 0.6x + x2 = -1.11 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -1.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
| 5+5x=7x+15 | | 9+10-1= | | x^2+4x+5=10 | | ln(x-3)+ln(x-2)=ln(2x+24) | | t^21+10t+24=0 | | ln(x-4)+ln(x+1)=ln(2x+8) | | 5b^2+22b+21=0 | | 5x+4=16-x | | x^8-2x^4-1=0 | | 9x^2=9 | | 9x^2-14x-3=7x^2-13x+7 | | 2x^2-1x+4=0 | | .1x=2 | | 6-4x=8+2x | | 6y-11=5+8y | | (x-2)/3+1=x/7 | | ln(3-3)+ln(3-2)=ln(2x-24) | | 1x^2+9x+6=0 | | -15+m=3 | | 3p-7p=24 | | 6a+3=33 | | 4x-6=5x+2 | | 3x/4+5x/2=13 | | 8x-(3x+7)= | | 9x-7=9(x-1) | | 16x+2=5(3x-1)+7 | | 3-8(6x+9)=5 | | 5a-2=18 | | X=8600+-0.91Y | | (6(x^3)-7(x^2)+9x+1)-(7(x^3)+6(x^2)-2)=0 | | x^2+14=29 | | 1.00X+.91Y=8600.00 |