35x^2+18x-5=03

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Solution for 35x^2+18x-5=03 equation:


Simplifying
35x2 + 18x + -5 = 3

Reorder the terms:
-5 + 18x + 35x2 = 3

Solving
-5 + 18x + 35x2 = 3

Solving for variable 'x'.

Reorder the terms:
-5 + -3 + 18x + 35x2 = 3 + -3

Combine like terms: -5 + -3 = -8
-8 + 18x + 35x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-8 + 18x + 35x2 = 0

Factor a trinomial.
(-4 + -5x)(2 + -7x) = 0

Subproblem 1

Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 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 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8

Subproblem 2

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Solution

x = {-0.8, 0.2857142857}

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