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Simplifying 2x2 + -2x + 15 = x Reorder the terms: 15 + -2x + 2x2 = x Solving 15 + -2x + 2x2 = x Solving for variable 'x'. Reorder the terms: 15 + -2x + -1x + 2x2 = x + -1x Combine like terms: -2x + -1x = -3x 15 + -3x + 2x2 = x + -1x Combine like terms: x + -1x = 0 15 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -1.5x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -1.5x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -1.5x + x2 = 0 + -7.5 -1.5x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -1.5x + x2 = -7.5 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -7.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -7.5 + 0.5625 Combine like terms: -7.5 + 0.5625 = -6.9375 0.5625 + -1.5x + x2 = -6.9375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
| x^2+5x+3=3x+3 | | 0.45x=x-6 | | p/o=r | | -8(-7+n)=-40 | | (-3x+7)-(x^2+x-5)= | | s-r=t | | X+(x+7)+3x=92 | | x-11x=-5(5+10x)-5(1-5x) | | -29=-10n-9 | | w*9-5*3= | | (x+7)+3x=92 | | (4n^8-6n^4+6n^2+3)+(2n^7+4n^4-8n)= | | (5x+6)+(x+9)= | | ln(4x^2)-ln(10x)=ln(30) | | 5r+5=55 | | 4x^5-64x=0 | | log(5x-2)+log(x+5)=1 | | 2(3x+1)+9x= | | -6y+2=8y+14 | | x(2x+3)=3x+1 | | 4b+2a=8 | | -6x/5 | | 5678+5678*56y=0 | | 0.5x-0.2y=-0.5 | | 3s/4(t^2-49)/2s/7t-t^2 | | Z^2+(2*i*z)+i=0 | | 4b-2a=8 | | 2cos(x/5)-sqrt(2)=0 | | (x+1)(x+2)=x^2-16 | | 3y-6+y+44=6y+40-4y | | h=2+55t-16t^2 | | √8/18 |