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Simplifying 5x3 + 70x2 + 240x = 0 Reorder the terms: 240x + 70x2 + 5x3 = 0 Solving 240x + 70x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(48 + 14x + x2) = 0 Factor a trinomial. 5x((8 + x)(6 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 3
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0, -8, -6}
| 30h+70=140 | | 100x+250= | | 4a+16=56 | | 8x+6x-40=100-6x | | -3.5b+.66=5.25+.833b | | 1x-8y=24 | | -b+6(5b+1)=-36+8b | | 2x+10=3x-8+x | | 2x^2-88=2x^2-12x+16 | | 12p=6+3p | | 2.4z-1.2z-6.5=0.7 | | 3a^2+11a-70= | | log(b)81=3 | | -6.2(n+6.5)-6.7=-87.92 | | -3+14+4x=5+x+9 | | 8x+-5=8x+2 | | 3-w=-2 | | 21b+6=15b | | N^2+2n-97=0 | | 8+10=50 | | 4x+14=(x+4)(x+5y) | | 4y=6+3.2x | | 5x^3-35x^2-150x=0 | | 9n+12=57 | | X^2-18x-78=0 | | 3y-4x=93 | | 2m+05(m-4)=9 | | 93=6+3x | | 1-3(8x-1)=-6x+40 | | Y-8x=24 | | 270T+109=530-60t | | -52=4m+6-7m-19 |