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Simplifying 7x2 = 7x + 140 Reorder the terms: 7x2 = 140 + 7x Solving 7x2 = 140 + 7x Solving for variable 'x'. Reorder the terms: -140 + -7x + 7x2 = 140 + 7x + -140 + -7x Reorder the terms: -140 + -7x + 7x2 = 140 + -140 + 7x + -7x Combine like terms: 140 + -140 = 0 -140 + -7x + 7x2 = 0 + 7x + -7x -140 + -7x + 7x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -140 + -7x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-20 + -1x + x2) = 0 Factor a trinomial. 7((-4 + -1x)(5 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4, 5}
| 18x+18y=36 | | 2y+6x-90=180 | | 9t-10=40-t | | X^2+15X+6=0 | | r^2+64=-16r | | 6x^2-5x+14=0 | | 3+2x=96 | | 7.5x-3=6.5x | | 10x+16y=174 | | -8=32-59 | | 5x+8y=87 | | 4x-30=-6+3x | | 2.25x(-4.2)=x+3.28 | | 3+x^2=96 | | 10m+16=4m-20 | | 2(3n+6)=3(2n+4) | | 5n+12=3(2n+4) | | 6n+4=3(2n+4) | | 18(x+1)=6(3x+2)+6 | | 8+2(12-5)= | | x+1.5=0.75(x-0.5) | | 4+2x-2+5x=37 | | x^2+81=121 | | 4x+5=7x-13 | | 3y^2-22y+35=0 | | 5x=-x^2-4 | | 2(60-y)x+2(60-y)y=9600 | | -3(2x+3)=2x-1 | | 2.5x+10=0 | | -1x^2-16x-63=0 | | 4+2x-2+5=37 | | 13w+47=294 |