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Simplifying 20x2 + -65x + 50 = 0 Reorder the terms: 50 + -65x + 20x2 = 0 Solving 50 + -65x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(10 + -13x + 4x2) = 0 Factor a trinomial. 5((5 + -4x)(2 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {1.25, 2}
| 3(4r+3)-20= | | 1/4+(6*1/2)+3 | | 7x+4-3x=20 | | 14w-10w+9-2=4w+2+5 | | 10=5x-(4x+5) | | 4x/2+3=23 | | 16x^2+64x=0 | | x+8-3x=23 | | (x-3)(x+8)=3(x+8) | | (5y-5)-(10y+9)= | | (1/x+2)-(1/x)/2 | | (-1/2)(-1/2)+6(1/2)+3 | | -x^2+37x-10=40 | | d=4(3)-2 | | 24=.5(h^2+2h) | | -50=-65 | | 24v^2+140v+200=0 | | (x+1)-(8x-2)= | | 2x-6=x-7 | | 2k^2-15k+7=0 | | 5r^2-40=0 | | 3=123-3x^2/5 | | 4y^5-4y^5= | | -2x+37=0 | | -3=5n+8-6 | | -3(x+8)+1= | | d=4n-2forn | | 3[6-(2w+1)]+7=2(5-w) | | 4/5*-10= | | 0.5(x+1)+0.25=0.6666666666x-0.1666666666x+0.75 | | 52+2x=180 | | 90=(4x+5)+(4x+8) |