-2(x+5)=7x^2-10

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Solution for -2(x+5)=7x^2-10 equation:


Simplifying
-2(x + 5) = 7x2 + -10

Reorder the terms:
-2(5 + x) = 7x2 + -10
(5 * -2 + x * -2) = 7x2 + -10
(-10 + -2x) = 7x2 + -10

Reorder the terms:
-10 + -2x = -10 + 7x2

Add '10' to each side of the equation.
-10 + 10 + -2x = -10 + 10 + 7x2

Combine like terms: -10 + 10 = 0
0 + -2x = -10 + 10 + 7x2
-2x = -10 + 10 + 7x2

Combine like terms: -10 + 10 = 0
-2x = 0 + 7x2
-2x = 7x2

Solving
-2x = 7x2

Solving for variable 'x'.

Combine like terms: 7x2 + -7x2 = 0
-2x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(2 + 7x) = 0

Ignore the factor -1.

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 = 0

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, -0.2857142857}

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