0=10x^2+29x-21

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Solution for 0=10x^2+29x-21 equation: 


Simplifying
0 = 10x2 + 29x + -21

Reorder the terms:
0 = -21 + 29x + 10x2

Solving
0 = -21 + 29x + 10x2

Solving for variable 'x'.

Combine like terms: 0 + 21 = 21
21 + -29x + -10x2 = -21 + 29x + 10x2 + 21 + -29x + -10x2

Reorder the terms:
21 + -29x + -10x2 = -21 + 21 + 29x + -29x + 10x2 + -10x2

Combine like terms: -21 + 21 = 0
21 + -29x + -10x2 = 0 + 29x + -29x + 10x2 + -10x2
21 + -29x + -10x2 = 29x + -29x + 10x2 + -10x2

Combine like terms: 29x + -29x = 0
21 + -29x + -10x2 = 0 + 10x2 + -10x2
21 + -29x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
21 + -29x + -10x2 = 0

Factor a trinomial.
(3 + -5x)(7 + 2x) = 0


Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0.6, -3.5}

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