Answer:Solution for 6x^2+7x-5=0 equation:
Simplifying
6x2 + 7x + -5 = 0
Reorder the terms:
-5 + 7x + 6x2 = 0
Solving
-5 + 7x + 6x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-5 + -3x)(1 + -2x) = 0
Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:
Simplifying
-5 + -3x = 0
Solving
-5 + -3x = 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 + -3x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5
Combine like terms: 0 + 5 = 5
-3x = 5
Divide each side by '-3'.
x = -1.666666667
Simplifying
x = -1.666666667
Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Solving
1 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms: 0 + -1 = -1
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
Solution
x = {-1.666666667, 0.5
Step-by-step explanation:
