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Simplifying a2 + -13a + 42 = 0 Reorder the terms: 42 + -13a + a2 = 0 Solving 42 + -13a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (6 + -1a)(7 + -1a) = 0Subproblem 1
Set the factor '(6 + -1a)' equal to zero and attempt to solve: Simplifying 6 + -1a = 0 Solving 6 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7Solution
a = {6, 7}
| 146,000,000/1.16 | | Y=0.3(5)+5.37 | | Y=0.3(3)+5.37 | | (X)+4=90 | | Y=0.3(1)+5.37 | | x+3x+4(5x)=67 | | (y-4)(2y+5)= | | 4s+27=75 | | o=.5(x)+6 | | o=.5x+6 | | 4x-28=7-x | | Y=.5(-2)+6 | | =x^2(4x+1) | | Y=.5(0)+6 | | 4.38(3f)+3.42f=99.36 | | 0=.5(x+6) | | 2d+10e+7d+8e= | | Y=.5(-2+6) | | Y=.5(0+6) | | Y=0.3(5+5.37) | | Y=0.3(3+5.37) | | (4+x)(2x+7)=0 | | Y=0.3(1+5.37) | | (2x).3=17.5 | | =x^2(x+6) | | Y=0.3x+5.37 | | 5t+2t-51=0 | | e^6x=77e^9x | | 5+(-4)(-4*10)=-35 | | =x^2(6+x) | | 5800=40x+4000 | | 4.38b+3.42f=99.36 |