(10x-7)(3x+1)=0

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Solution for (10x-7)(3x+1)=0 equation:


Simplifying
(10x + -7)(3x + 1) = 0

Reorder the terms:
(-7 + 10x)(3x + 1) = 0

Reorder the terms:
(-7 + 10x)(1 + 3x) = 0

Multiply (-7 + 10x) * (1 + 3x)
(-7(1 + 3x) + 10x * (1 + 3x)) = 0
((1 * -7 + 3x * -7) + 10x * (1 + 3x)) = 0
((-7 + -21x) + 10x * (1 + 3x)) = 0
(-7 + -21x + (1 * 10x + 3x * 10x)) = 0
(-7 + -21x + (10x + 30x2)) = 0

Combine like terms: -21x + 10x = -11x
(-7 + -11x + 30x2) = 0

Solving
-7 + -11x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x)(7 + -10x) = 0

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(7 + -10x)' equal to zero and attempt to solve: Simplifying 7 + -10x = 0 Solving 7 + -10x = 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 + -10x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = 0 + -7 -10x = 0 + -7 Combine like terms: 0 + -7 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7

Solution

x = {-0.3333333333, 0.7}

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