-5x^2+x+7=x-53

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Solution for -5x^2+x+7=x-53 equation: 


Simplifying
-5x2 + x + 7 = x + -53

Reorder the terms:
7 + x + -5x2 = x + -53

Reorder the terms:
7 + x + -5x2 = -53 + x

Add '-1x' to each side of the equation.
7 + x + -1x + -5x2 = -53 + x + -1x

Combine like terms: x + -1x = 0
7 + 0 + -5x2 = -53 + x + -1x
7 + -5x2 = -53 + x + -1x

Combine like terms: x + -1x = 0
7 + -5x2 = -53 + 0
7 + -5x2 = -53

Solving
7 + -5x2 = -53

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -5x2 = -53 + -7

Combine like terms: 7 + -7 = 0
0 + -5x2 = -53 + -7
-5x2 = -53 + -7

Combine like terms: -53 + -7 = -60
-5x2 = -60

Divide each side by '-5'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}

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